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Finding the Fourth Proportional to 8,041.46, 12,057.87 and 3,659.90

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Solution

The fourth proportional to 8,041.46, 12,057.87 and 3,659.90 is: 5,487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.46 : 12,057.87 = 3,659.90 : x
  2. Step 2: Convert to fraction form
    8,041.46/12,057.87 = 3,659.90/x
  3. Step 3: Cross multiply
    8,041.46x = 12,057.87 × 3,659.90
  4. Step 4: Simplify right side
    8,041.46x = 44,130,598.41
  5. Step 5: Solve for x
    x = 44,130,598.41/8,041.46
  6. Step 6: Final answer
    x = 5,487.88

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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.