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Finding the Fourth Proportional to 8,542.60, 12,814.61 and 3,280.16

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Solution

The fourth proportional to 8,542.60, 12,814.61 and 3,280.16 is: 4,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.60 : 12,814.61 = 3,280.16 : x
  2. Step 2: Convert to fraction form
    8,542.60/12,814.61 = 3,280.16/x
  3. Step 3: Cross multiply
    8,542.60x = 12,814.61 × 3,280.16
  4. Step 4: Simplify right side
    8,542.60x = 42,033,986.77
  5. Step 5: Solve for x
    x = 42,033,986.77/8,542.60
  6. Step 6: Final answer
    x = 4,920.52

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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.