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Finding the Fourth Proportional to 12,502.62, 17,240.45 and 7,778.70

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Solution

The fourth proportional to 12,502.62, 17,240.45 and 7,778.70 is: 10,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.62 : 17,240.45 = 7,778.70 : x
  2. Step 2: Convert to fraction form
    12,502.62/17,240.45 = 7,778.70/x
  3. Step 3: Cross multiply
    12,502.62x = 17,240.45 × 7,778.70
  4. Step 4: Simplify right side
    12,502.62x = 134,108,249.52
  5. Step 5: Solve for x
    x = 134,108,249.52/12,502.62
  6. Step 6: Final answer
    x = 10,726.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.