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Finding the Fourth Proportional to 8,814.12, 13,200.92 and 5,107.18

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Solution

The fourth proportional to 8,814.12, 13,200.92 and 5,107.18 is: 7,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.12 : 13,200.92 = 5,107.18 : x
  2. Step 2: Convert to fraction form
    8,814.12/13,200.92 = 5,107.18/x
  3. Step 3: Cross multiply
    8,814.12x = 13,200.92 × 5,107.18
  4. Step 4: Simplify right side
    8,814.12x = 67,419,474.61
  5. Step 5: Solve for x
    x = 67,419,474.61/8,814.12
  6. Step 6: Final answer
    x = 7,649.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.