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Finding the Fourth Proportional to 8,171.43, 12,254.18 and 3,491.76

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Solution

The fourth proportional to 8,171.43, 12,254.18 and 3,491.76 is: 5,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.43 : 12,254.18 = 3,491.76 : x
  2. Step 2: Convert to fraction form
    8,171.43/12,254.18 = 3,491.76/x
  3. Step 3: Cross multiply
    8,171.43x = 12,254.18 × 3,491.76
  4. Step 4: Simplify right side
    8,171.43x = 42,788,655.56
  5. Step 5: Solve for x
    x = 42,788,655.56/8,171.43
  6. Step 6: Final answer
    x = 5,236.37

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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.