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Finding the Fourth Proportional to 8,148.46, 12,220.40 and 3,149.68

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Solution

The fourth proportional to 8,148.46, 12,220.40 and 3,149.68 is: 4,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.46 : 12,220.40 = 3,149.68 : x
  2. Step 2: Convert to fraction form
    8,148.46/12,220.40 = 3,149.68/x
  3. Step 3: Cross multiply
    8,148.46x = 12,220.40 × 3,149.68
  4. Step 4: Simplify right side
    8,148.46x = 38,490,349.47
  5. Step 5: Solve for x
    x = 38,490,349.47/8,148.46
  6. Step 6: Final answer
    x = 4,723.63

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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.