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Finding the Fourth Proportional to 10,462.58, 15,691.47 and 6,247.02

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Solution

The fourth proportional to 10,462.58, 15,691.47 and 6,247.02 is: 9,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.58 : 15,691.47 = 6,247.02 : x
  2. Step 2: Convert to fraction form
    10,462.58/15,691.47 = 6,247.02/x
  3. Step 3: Cross multiply
    10,462.58x = 15,691.47 × 6,247.02
  4. Step 4: Simplify right side
    10,462.58x = 98,024,926.92
  5. Step 5: Solve for x
    x = 98,024,926.92/10,462.58
  6. Step 6: Final answer
    x = 9,369.10

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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.