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Finding the Fourth Proportional to 12,502.47, 17,252.78 and 6,912.39

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Solution

The fourth proportional to 12,502.47, 17,252.78 and 6,912.39 is: 9,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.47 : 17,252.78 = 6,912.39 : x
  2. Step 2: Convert to fraction form
    12,502.47/17,252.78 = 6,912.39/x
  3. Step 3: Cross multiply
    12,502.47x = 17,252.78 × 6,912.39
  4. Step 4: Simplify right side
    12,502.47x = 119,257,909.38
  5. Step 5: Solve for x
    x = 119,257,909.38/12,502.47
  6. Step 6: Final answer
    x = 9,538.75

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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.