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Finding the Fourth Proportional to 11,179.89, 15,428.07 and 6,464.07

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Solution

The fourth proportional to 11,179.89, 15,428.07 and 6,464.07 is: 8,920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,179.89 : 15,428.07 = 6,464.07 : x
  2. Step 2: Convert to fraction form
    11,179.89/15,428.07 = 6,464.07/x
  3. Step 3: Cross multiply
    11,179.89x = 15,428.07 × 6,464.07
  4. Step 4: Simplify right side
    11,179.89x = 99,728,124.44
  5. Step 5: Solve for x
    x = 99,728,124.44/11,179.89
  6. Step 6: Final answer
    x = 8,920.31

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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.