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Finding the Fourth Proportional to 8,002.70, 12,004.05 and 4,489.10

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Solution

The fourth proportional to 8,002.70, 12,004.05 and 4,489.10 is: 6,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.70 : 12,004.05 = 4,489.10 : x
  2. Step 2: Convert to fraction form
    8,002.70/12,004.05 = 4,489.10/x
  3. Step 3: Cross multiply
    8,002.70x = 12,004.05 × 4,489.10
  4. Step 4: Simplify right side
    8,002.70x = 53,887,380.86
  5. Step 5: Solve for x
    x = 53,887,380.86/8,002.70
  6. Step 6: Final answer
    x = 6,733.65

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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.