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Finding the Fourth Proportional to 11,669.63, 16,098.53 and 7,894.11

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Solution

The fourth proportional to 11,669.63, 16,098.53 and 7,894.11 is: 10,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669.63 : 16,098.53 = 7,894.11 : x
  2. Step 2: Convert to fraction form
    11,669.63/16,098.53 = 7,894.11/x
  3. Step 3: Cross multiply
    11,669.63x = 16,098.53 × 7,894.11
  4. Step 4: Simplify right side
    11,669.63x = 127,083,566.66
  5. Step 5: Solve for x
    x = 127,083,566.66/11,669.63
  6. Step 6: Final answer
    x = 10,890.11

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