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Finding the Fourth Proportional to 8,148.74, 12,242.68 and 5,232.74

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Solution

The fourth proportional to 8,148.74, 12,242.68 and 5,232.74 is: 7,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.74 : 12,242.68 = 5,232.74 : x
  2. Step 2: Convert to fraction form
    8,148.74/12,242.68 = 5,232.74/x
  3. Step 3: Cross multiply
    8,148.74x = 12,242.68 × 5,232.74
  4. Step 4: Simplify right side
    8,148.74x = 64,062,761.34
  5. Step 5: Solve for x
    x = 64,062,761.34/8,148.74
  6. Step 6: Final answer
    x = 7,861.68

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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.