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Finding the Fourth Proportional to 12,726.38, 17,562.42 and 7,060.95

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Solution

The fourth proportional to 12,726.38, 17,562.42 and 7,060.95 is: 9,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.38 : 17,562.42 = 7,060.95 : x
  2. Step 2: Convert to fraction form
    12,726.38/17,562.42 = 7,060.95/x
  3. Step 3: Cross multiply
    12,726.38x = 17,562.42 × 7,060.95
  4. Step 4: Simplify right side
    12,726.38x = 124,007,369.50
  5. Step 5: Solve for x
    x = 124,007,369.50/12,726.38
  6. Step 6: Final answer
    x = 9,744.12

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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.