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Finding the Fourth Proportional to 8,424.57, 12,627.96 and 3,156.14

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Solution

The fourth proportional to 8,424.57, 12,627.96 and 3,156.14 is: 4,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.57 : 12,627.96 = 3,156.14 : x
  2. Step 2: Convert to fraction form
    8,424.57/12,627.96 = 3,156.14/x
  3. Step 3: Cross multiply
    8,424.57x = 12,627.96 × 3,156.14
  4. Step 4: Simplify right side
    8,424.57x = 39,855,546.53
  5. Step 5: Solve for x
    x = 39,855,546.53/8,424.57
  6. Step 6: Final answer
    x = 4,730.87

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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.