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Finding the Fourth Proportional to 8,454.44, 12,708.96 and 7,845.68

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Solution

The fourth proportional to 8,454.44, 12,708.96 and 7,845.68 is: 11,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.44 : 12,708.96 = 7,845.68 : x
  2. Step 2: Convert to fraction form
    8,454.44/12,708.96 = 7,845.68/x
  3. Step 3: Cross multiply
    8,454.44x = 12,708.96 × 7,845.68
  4. Step 4: Simplify right side
    8,454.44x = 99,710,433.29
  5. Step 5: Solve for x
    x = 99,710,433.29/8,454.44
  6. Step 6: Final answer
    x = 11,793.85

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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.