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Finding the Fourth Proportional to 7,793.64, 10,764.36 and 7,161.84

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Solution

The fourth proportional to 7,793.64, 10,764.36 and 7,161.84 is: 9,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.64 : 10,764.36 = 7,161.84 : x
  2. Step 2: Convert to fraction form
    7,793.64/10,764.36 = 7,161.84/x
  3. Step 3: Cross multiply
    7,793.64x = 10,764.36 × 7,161.84
  4. Step 4: Simplify right side
    7,793.64x = 77,092,624.02
  5. Step 5: Solve for x
    x = 77,092,624.02/7,793.64
  6. Step 6: Final answer
    x = 9,891.74

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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.