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Finding the Fourth Proportional to 11,404.16, 15,731.52 and 8,254.88

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Solution

The fourth proportional to 11,404.16, 15,731.52 and 8,254.88 is: 11,387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.16 : 15,731.52 = 8,254.88 : x
  2. Step 2: Convert to fraction form
    11,404.16/15,731.52 = 8,254.88/x
  3. Step 3: Cross multiply
    11,404.16x = 15,731.52 × 8,254.88
  4. Step 4: Simplify right side
    11,404.16x = 129,861,809.82
  5. Step 5: Solve for x
    x = 129,861,809.82/11,404.16
  6. Step 6: Final answer
    x = 11,387.23

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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.