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Finding the Fourth Proportional to 8,280.32, 12,421.71 and 2,734.25

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Solution

The fourth proportional to 8,280.32, 12,421.71 and 2,734.25 is: 4,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.32 : 12,421.71 = 2,734.25 : x
  2. Step 2: Convert to fraction form
    8,280.32/12,421.71 = 2,734.25/x
  3. Step 3: Cross multiply
    8,280.32x = 12,421.71 × 2,734.25
  4. Step 4: Simplify right side
    8,280.32x = 33,964,060.57
  5. Step 5: Solve for x
    x = 33,964,060.57/8,280.32
  6. Step 6: Final answer
    x = 4,101.78

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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.