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Finding the Fourth Proportional to 8,178.96, 12,272.24 and 3,500.40

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Solution

The fourth proportional to 8,178.96, 12,272.24 and 3,500.40 is: 5,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.96 : 12,272.24 = 3,500.40 : x
  2. Step 2: Convert to fraction form
    8,178.96/12,272.24 = 3,500.40/x
  3. Step 3: Cross multiply
    8,178.96x = 12,272.24 × 3,500.40
  4. Step 4: Simplify right side
    8,178.96x = 42,957,748.90
  5. Step 5: Solve for x
    x = 42,957,748.90/8,178.96
  6. Step 6: Final answer
    x = 5,252.23

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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.