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Finding the Fourth Proportional to 8,337.76, 12,505.73 and 2,493

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Solution

The fourth proportional to 8,337.76, 12,505.73 and 2,493 is: 3,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.76 : 12,505.73 = 2,493 : x
  2. Step 2: Convert to fraction form
    8,337.76/12,505.73 = 2,493/x
  3. Step 3: Cross multiply
    8,337.76x = 12,505.73 × 2,493
  4. Step 4: Simplify right side
    8,337.76x = 31,176,772.43
  5. Step 5: Solve for x
    x = 31,176,772.43/8,337.76
  6. Step 6: Final answer
    x = 3,739.23

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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.