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Finding the Fourth Proportional to 12,837.75, 17,716.05 and 7,532.52

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Solution

The fourth proportional to 12,837.75, 17,716.05 and 7,532.52 is: 10,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.75 : 17,716.05 = 7,532.52 : x
  2. Step 2: Convert to fraction form
    12,837.75/17,716.05 = 7,532.52/x
  3. Step 3: Cross multiply
    12,837.75x = 17,716.05 × 7,532.52
  4. Step 4: Simplify right side
    12,837.75x = 133,446,500.95
  5. Step 5: Solve for x
    x = 133,446,500.95/12,837.75
  6. Step 6: Final answer
    x = 10,394.85

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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.