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Finding the Fourth Proportional to 6,843.60, 10,246.68 and 4,759.20

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Solution

The fourth proportional to 6,843.60, 10,246.68 and 4,759.20 is: 7,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.60 : 10,246.68 = 4,759.20 : x
  2. Step 2: Convert to fraction form
    6,843.60/10,246.68 = 4,759.20/x
  3. Step 3: Cross multiply
    6,843.60x = 10,246.68 × 4,759.20
  4. Step 4: Simplify right side
    6,843.60x = 48,765,999.46
  5. Step 5: Solve for x
    x = 48,765,999.46/6,843.60
  6. Step 6: Final answer
    x = 7,125.78

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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.