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Finding the Fourth Proportional to 10,839.26, 16,268.15 and 7,726.88

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Solution

The fourth proportional to 10,839.26, 16,268.15 and 7,726.88 is: 11,596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.26 : 16,268.15 = 7,726.88 : x
  2. Step 2: Convert to fraction form
    10,839.26/16,268.15 = 7,726.88/x
  3. Step 3: Cross multiply
    10,839.26x = 16,268.15 × 7,726.88
  4. Step 4: Simplify right side
    10,839.26x = 125,702,102.86
  5. Step 5: Solve for x
    x = 125,702,102.86/10,839.26
  6. Step 6: Final answer
    x = 11,596.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.