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Finding the Fourth Proportional to 8,402.40, 12,571.20 and 5,114.88

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Solution

The fourth proportional to 8,402.40, 12,571.20 and 5,114.88 is: 7,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.40 : 12,571.20 = 5,114.88 : x
  2. Step 2: Convert to fraction form
    8,402.40/12,571.20 = 5,114.88/x
  3. Step 3: Cross multiply
    8,402.40x = 12,571.20 × 5,114.88
  4. Step 4: Simplify right side
    8,402.40x = 64,300,179.46
  5. Step 5: Solve for x
    x = 64,300,179.46/8,402.40
  6. Step 6: Final answer
    x = 7,652.60

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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.