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Finding the Fourth Proportional to 7,494.35, 10,342.00 and 4,136.62

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Solution

The fourth proportional to 7,494.35, 10,342.00 and 4,136.62 is: 5,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.35 : 10,342.00 = 4,136.62 : x
  2. Step 2: Convert to fraction form
    7,494.35/10,342.00 = 4,136.62/x
  3. Step 3: Cross multiply
    7,494.35x = 10,342.00 × 4,136.62
  4. Step 4: Simplify right side
    7,494.35x = 42,780,934.38
  5. Step 5: Solve for x
    x = 42,780,934.38/7,494.35
  6. Step 6: Final answer
    x = 5,708.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.