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Finding the Fourth Proportional to 8,401.28, 12,593.13 and 3,134.00

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Solution

The fourth proportional to 8,401.28, 12,593.13 and 3,134.00 is: 4,697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.28 : 12,593.13 = 3,134.00 : x
  2. Step 2: Convert to fraction form
    8,401.28/12,593.13 = 3,134.00/x
  3. Step 3: Cross multiply
    8,401.28x = 12,593.13 × 3,134.00
  4. Step 4: Simplify right side
    8,401.28x = 39,466,806.45
  5. Step 5: Solve for x
    x = 39,466,806.45/8,401.28
  6. Step 6: Final answer
    x = 4,697.72

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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.