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Finding the Fourth Proportional to 12,337.38, 17,026.56 and 7,863.12

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Solution

The fourth proportional to 12,337.38, 17,026.56 and 7,863.12 is: 10,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337.38 : 17,026.56 = 7,863.12 : x
  2. Step 2: Convert to fraction form
    12,337.38/17,026.56 = 7,863.12/x
  3. Step 3: Cross multiply
    12,337.38x = 17,026.56 × 7,863.12
  4. Step 4: Simplify right side
    12,337.38x = 133,881,884.47
  5. Step 5: Solve for x
    x = 133,881,884.47/12,337.38
  6. Step 6: Final answer
    x = 10,851.73

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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.