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Finding the Fourth Proportional to 10,342.26, 15,499.42 and 7,414.11

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Solution

The fourth proportional to 10,342.26, 15,499.42 and 7,414.11 is: 11,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.26 : 15,499.42 = 7,414.11 : x
  2. Step 2: Convert to fraction form
    10,342.26/15,499.42 = 7,414.11/x
  3. Step 3: Cross multiply
    10,342.26x = 15,499.42 × 7,414.11
  4. Step 4: Simplify right side
    10,342.26x = 114,914,386.28
  5. Step 5: Solve for x
    x = 114,914,386.28/10,342.26
  6. Step 6: Final answer
    x = 11,111.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.