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Finding the Fourth Proportional to 6,742.60, 10,092.30 and 3,614.92

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Solution

The fourth proportional to 6,742.60, 10,092.30 and 3,614.92 is: 5,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.60 : 10,092.30 = 3,614.92 : x
  2. Step 2: Convert to fraction form
    6,742.60/10,092.30 = 3,614.92/x
  3. Step 3: Cross multiply
    6,742.60x = 10,092.30 × 3,614.92
  4. Step 4: Simplify right side
    6,742.60x = 36,482,857.12
  5. Step 5: Solve for x
    x = 36,482,857.12/6,742.60
  6. Step 6: Final answer
    x = 5,410.80

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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.