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Finding the Fourth Proportional to 10,031.28, 15,041.86 and 5,872.54

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Solution

The fourth proportional to 10,031.28, 15,041.86 and 5,872.54 is: 8,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.28 : 15,041.86 = 5,872.54 : x
  2. Step 2: Convert to fraction form
    10,031.28/15,041.86 = 5,872.54/x
  3. Step 3: Cross multiply
    10,031.28x = 15,041.86 × 5,872.54
  4. Step 4: Simplify right side
    10,031.28x = 88,333,924.52
  5. Step 5: Solve for x
    x = 88,333,924.52/10,031.28
  6. Step 6: Final answer
    x = 8,805.85

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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.