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Finding the Fourth Proportional to 10,459.60, 15,691.68 and 5,197.44

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Solution

The fourth proportional to 10,459.60, 15,691.68 and 5,197.44 is: 7,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.60 : 15,691.68 = 5,197.44 : x
  2. Step 2: Convert to fraction form
    10,459.60/15,691.68 = 5,197.44/x
  3. Step 3: Cross multiply
    10,459.60x = 15,691.68 × 5,197.44
  4. Step 4: Simplify right side
    10,459.60x = 81,556,565.30
  5. Step 5: Solve for x
    x = 81,556,565.30/10,459.60
  6. Step 6: Final answer
    x = 7,797.29

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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.