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Finding the Fourth Proportional to 8,337, 12,505.92 and 2,493.66

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Solution

The fourth proportional to 8,337, 12,505.92 and 2,493.66 is: 3,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337 : 12,505.92 = 2,493.66 : x
  2. Step 2: Convert to fraction form
    8,337/12,505.92 = 2,493.66/x
  3. Step 3: Cross multiply
    8,337x = 12,505.92 × 2,493.66
  4. Step 4: Simplify right side
    8,337x = 31,185,512.47
  5. Step 5: Solve for x
    x = 31,185,512.47/8,337
  6. Step 6: Final answer
    x = 3,740.62

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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.