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Finding the Fourth Proportional to 8,371.47, 12,557.20 and 3,177.34

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Solution

The fourth proportional to 8,371.47, 12,557.20 and 3,177.34 is: 4,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.47 : 12,557.20 = 3,177.34 : x
  2. Step 2: Convert to fraction form
    8,371.47/12,557.20 = 3,177.34/x
  3. Step 3: Cross multiply
    8,371.47x = 12,557.20 × 3,177.34
  4. Step 4: Simplify right side
    8,371.47x = 39,898,493.85
  5. Step 5: Solve for x
    x = 39,898,493.85/8,371.47
  6. Step 6: Final answer
    x = 4,766.01

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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.