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Finding the Fourth Proportional to 8,494.68, 12,737.16 and 5,034.36

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Solution

The fourth proportional to 8,494.68, 12,737.16 and 5,034.36 is: 7,548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.68 : 12,737.16 = 5,034.36 : x
  2. Step 2: Convert to fraction form
    8,494.68/12,737.16 = 5,034.36/x
  3. Step 3: Cross multiply
    8,494.68x = 12,737.16 × 5,034.36
  4. Step 4: Simplify right side
    8,494.68x = 64,123,448.82
  5. Step 5: Solve for x
    x = 64,123,448.82/8,494.68
  6. Step 6: Final answer
    x = 7,548.66

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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.