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Finding the Fourth Proportional to 8,337.70, 12,502.86 and 2,493.19

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Solution

The fourth proportional to 8,337.70, 12,502.86 and 2,493.19 is: 3,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.70 : 12,502.86 = 2,493.19 : x
  2. Step 2: Convert to fraction form
    8,337.70/12,502.86 = 2,493.19/x
  3. Step 3: Cross multiply
    8,337.70x = 12,502.86 × 2,493.19
  4. Step 4: Simplify right side
    8,337.70x = 31,172,005.52
  5. Step 5: Solve for x
    x = 31,172,005.52/8,337.70
  6. Step 6: Final answer
    x = 3,738.68

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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.