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Finding the Fourth Proportional to 11,257.47, 15,520.87 and 7,714.53

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Solution

The fourth proportional to 11,257.47, 15,520.87 and 7,714.53 is: 10,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.47 : 15,520.87 = 7,714.53 : x
  2. Step 2: Convert to fraction form
    11,257.47/15,520.87 = 7,714.53/x
  3. Step 3: Cross multiply
    11,257.47x = 15,520.87 × 7,714.53
  4. Step 4: Simplify right side
    11,257.47x = 119,736,217.24
  5. Step 5: Solve for x
    x = 119,736,217.24/11,257.47
  6. Step 6: Final answer
    x = 10,636.16

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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.