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Finding the Fourth Proportional to 8,031.32, 12,040.05 and 3,865.60

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Solution

The fourth proportional to 8,031.32, 12,040.05 and 3,865.60 is: 5,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.32 : 12,040.05 = 3,865.60 : x
  2. Step 2: Convert to fraction form
    8,031.32/12,040.05 = 3,865.60/x
  3. Step 3: Cross multiply
    8,031.32x = 12,040.05 × 3,865.60
  4. Step 4: Simplify right side
    8,031.32x = 46,541,937.75
  5. Step 5: Solve for x
    x = 46,541,937.75/8,031.32
  6. Step 6: Final answer
    x = 5,795.05

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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.