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Finding the Fourth Proportional to 10,034.77, 15,043.94 and 3,791.24

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Solution

The fourth proportional to 10,034.77, 15,043.94 and 3,791.24 is: 5,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.77 : 15,043.94 = 3,791.24 : x
  2. Step 2: Convert to fraction form
    10,034.77/15,043.94 = 3,791.24/x
  3. Step 3: Cross multiply
    10,034.77x = 15,043.94 × 3,791.24
  4. Step 4: Simplify right side
    10,034.77x = 57,035,092.91
  5. Step 5: Solve for x
    x = 57,035,092.91/10,034.77
  6. Step 6: Final answer
    x = 5,683.75

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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.