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Finding the Fourth Proportional to 11,102.56, 15,321.90 and 6,387.28

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Solution

The fourth proportional to 11,102.56, 15,321.90 and 6,387.28 is: 8,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.56 : 15,321.90 = 6,387.28 : x
  2. Step 2: Convert to fraction form
    11,102.56/15,321.90 = 6,387.28/x
  3. Step 3: Cross multiply
    11,102.56x = 15,321.90 × 6,387.28
  4. Step 4: Simplify right side
    11,102.56x = 97,865,265.43
  5. Step 5: Solve for x
    x = 97,865,265.43/11,102.56
  6. Step 6: Final answer
    x = 8,814.66

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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.