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Finding the Fourth Proportional to 8,278.57, 12,419.09 and 2,732.50

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Solution

The fourth proportional to 8,278.57, 12,419.09 and 2,732.50 is: 4,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.57 : 12,419.09 = 2,732.50 : x
  2. Step 2: Convert to fraction form
    8,278.57/12,419.09 = 2,732.50/x
  3. Step 3: Cross multiply
    8,278.57x = 12,419.09 × 2,732.50
  4. Step 4: Simplify right side
    8,278.57x = 33,935,175.53
  5. Step 5: Solve for x
    x = 33,935,175.53/8,278.57
  6. Step 6: Final answer
    x = 4,099.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.