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Finding the Fourth Proportional to 8,726.12, 12,035.94 and 5,741

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Solution

The fourth proportional to 8,726.12, 12,035.94 and 5,741 is: 7,918.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.12 : 12,035.94 = 5,741 : x
  2. Step 2: Convert to fraction form
    8,726.12/12,035.94 = 5,741/x
  3. Step 3: Cross multiply
    8,726.12x = 12,035.94 × 5,741
  4. Step 4: Simplify right side
    8,726.12x = 69,098,331.54
  5. Step 5: Solve for x
    x = 69,098,331.54/8,726.12
  6. Step 6: Final answer
    x = 7,918.56

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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.