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Finding the Fourth Proportional to 11,516.25, 15,892.49 and 6,480.56

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Solution

The fourth proportional to 11,516.25, 15,892.49 and 6,480.56 is: 8,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.25 : 15,892.49 = 6,480.56 : x
  2. Step 2: Convert to fraction form
    11,516.25/15,892.49 = 6,480.56/x
  3. Step 3: Cross multiply
    11,516.25x = 15,892.49 × 6,480.56
  4. Step 4: Simplify right side
    11,516.25x = 102,992,155.53
  5. Step 5: Solve for x
    x = 102,992,155.53/11,516.25
  6. Step 6: Final answer
    x = 8,943.20

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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.