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Finding the Fourth Proportional to 7,793.60, 11,677.44 and 5,480.24

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Solution

The fourth proportional to 7,793.60, 11,677.44 and 5,480.24 is: 8,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.60 : 11,677.44 = 5,480.24 : x
  2. Step 2: Convert to fraction form
    7,793.60/11,677.44 = 5,480.24/x
  3. Step 3: Cross multiply
    7,793.60x = 11,677.44 × 5,480.24
  4. Step 4: Simplify right side
    7,793.60x = 63,995,173.79
  5. Step 5: Solve for x
    x = 63,995,173.79/7,793.60
  6. Step 6: Final answer
    x = 8,211.25

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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.