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Finding the Fourth Proportional to 10,616.64, 15,925.08 and 3,691.20

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Solution

The fourth proportional to 10,616.64, 15,925.08 and 3,691.20 is: 5,536.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.64 : 15,925.08 = 3,691.20 : x
  2. Step 2: Convert to fraction form
    10,616.64/15,925.08 = 3,691.20/x
  3. Step 3: Cross multiply
    10,616.64x = 15,925.08 × 3,691.20
  4. Step 4: Simplify right side
    10,616.64x = 58,782,655.30
  5. Step 5: Solve for x
    x = 58,782,655.30/10,616.64
  6. Step 6: Final answer
    x = 5,536.84

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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.