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Finding the Fourth Proportional to 8,281.54, 12,414.77 and 5,320.79

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Solution

The fourth proportional to 8,281.54, 12,414.77 and 5,320.79 is: 7,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.54 : 12,414.77 = 5,320.79 : x
  2. Step 2: Convert to fraction form
    8,281.54/12,414.77 = 5,320.79/x
  3. Step 3: Cross multiply
    8,281.54x = 12,414.77 × 5,320.79
  4. Step 4: Simplify right side
    8,281.54x = 66,056,361.90
  5. Step 5: Solve for x
    x = 66,056,361.90/8,281.54
  6. Step 6: Final answer
    x = 7,976.34

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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.