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Finding the Fourth Proportional to 8,142.68, 12,219.02 and 3,760.46

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Solution

The fourth proportional to 8,142.68, 12,219.02 and 3,760.46 is: 5,643.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.68 : 12,219.02 = 3,760.46 : x
  2. Step 2: Convert to fraction form
    8,142.68/12,219.02 = 3,760.46/x
  3. Step 3: Cross multiply
    8,142.68x = 12,219.02 × 3,760.46
  4. Step 4: Simplify right side
    8,142.68x = 45,949,135.95
  5. Step 5: Solve for x
    x = 45,949,135.95/8,142.68
  6. Step 6: Final answer
    x = 5,643.00

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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.