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Finding the Fourth Proportional to 10,149.74, 13,989.90 and 6,791.36

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Solution

The fourth proportional to 10,149.74, 13,989.90 and 6,791.36 is: 9,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.74 : 13,989.90 = 6,791.36 : x
  2. Step 2: Convert to fraction form
    10,149.74/13,989.90 = 6,791.36/x
  3. Step 3: Cross multiply
    10,149.74x = 13,989.90 × 6,791.36
  4. Step 4: Simplify right side
    10,149.74x = 95,010,447.26
  5. Step 5: Solve for x
    x = 95,010,447.26/10,149.74
  6. Step 6: Final answer
    x = 9,360.87

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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.