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Finding the Fourth Proportional to 8,407.61, 12,610.53 and 3,727.70

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Solution

The fourth proportional to 8,407.61, 12,610.53 and 3,727.70 is: 5,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.61 : 12,610.53 = 3,727.70 : x
  2. Step 2: Convert to fraction form
    8,407.61/12,610.53 = 3,727.70/x
  3. Step 3: Cross multiply
    8,407.61x = 12,610.53 × 3,727.70
  4. Step 4: Simplify right side
    8,407.61x = 47,008,209.63
  5. Step 5: Solve for x
    x = 47,008,209.63/8,407.61
  6. Step 6: Final answer
    x = 5,591.15

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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.