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Finding the Fourth Proportional to 8,156.57, 12,234.85 and 2,312.42

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Solution

The fourth proportional to 8,156.57, 12,234.85 and 2,312.42 is: 3,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.57 : 12,234.85 = 2,312.42 : x
  2. Step 2: Convert to fraction form
    8,156.57/12,234.85 = 2,312.42/x
  3. Step 3: Cross multiply
    8,156.57x = 12,234.85 × 2,312.42
  4. Step 4: Simplify right side
    8,156.57x = 28,292,044.88
  5. Step 5: Solve for x
    x = 28,292,044.88/8,156.57
  6. Step 6: Final answer
    x = 3,468.62

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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.