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Finding the Fourth Proportional to 11,894,411.89, 16,413,969.53 and 6,999,922.29

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Solution

The fourth proportional to 11,894,411.89, 16,413,969.53 and 6,999,922.29 is: 9,659,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894,411.89 : 16,413,969.53 = 6,999,922.29 : x
  2. Step 2: Convert to fraction form
    11,894,411.89/16,413,969.53 = 6,999,922.29/x
  3. Step 3: Cross multiply
    11,894,411.89x = 16,413,969.53 × 6,999,922.29
  4. Step 4: Simplify right side
    11,894,411.89x = 114,896,511,180,427.81
  5. Step 5: Solve for x
    x = 114,896,511,180,427.81/11,894,411.89
  6. Step 6: Final answer
    x = 9,659,705.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.