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Finding the Fourth Proportional to 8,114.40, 11,198.02 and 4,759.62

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Solution

The fourth proportional to 8,114.40, 11,198.02 and 4,759.62 is: 6,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.40 : 11,198.02 = 4,759.62 : x
  2. Step 2: Convert to fraction form
    8,114.40/11,198.02 = 4,759.62/x
  3. Step 3: Cross multiply
    8,114.40x = 11,198.02 × 4,759.62
  4. Step 4: Simplify right side
    8,114.40x = 53,298,319.95
  5. Step 5: Solve for x
    x = 53,298,319.95/8,114.40
  6. Step 6: Final answer
    x = 6,568.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.