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Finding the Fourth Proportional to 10,041.14, 13,868.60 and 8,031.53

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Solution

The fourth proportional to 10,041.14, 13,868.60 and 8,031.53 is: 11,092.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.14 : 13,868.60 = 8,031.53 : x
  2. Step 2: Convert to fraction form
    10,041.14/13,868.60 = 8,031.53/x
  3. Step 3: Cross multiply
    10,041.14x = 13,868.60 × 8,031.53
  4. Step 4: Simplify right side
    10,041.14x = 111,386,076.96
  5. Step 5: Solve for x
    x = 111,386,076.96/10,041.14
  6. Step 6: Final answer
    x = 11,092.97

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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.