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Finding the Fourth Proportional to 8,221.87, 12,335.90 and 4,937.32

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Solution

The fourth proportional to 8,221.87, 12,335.90 and 4,937.32 is: 7,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.87 : 12,335.90 = 4,937.32 : x
  2. Step 2: Convert to fraction form
    8,221.87/12,335.90 = 4,937.32/x
  3. Step 3: Cross multiply
    8,221.87x = 12,335.90 × 4,937.32
  4. Step 4: Simplify right side
    8,221.87x = 60,906,276.52
  5. Step 5: Solve for x
    x = 60,906,276.52/8,221.87
  6. Step 6: Final answer
    x = 7,407.84

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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.