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Finding the Fourth Proportional to 7,807.20, 10,765.88 and 6,691.84

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Solution

The fourth proportional to 7,807.20, 10,765.88 and 6,691.84 is: 9,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.20 : 10,765.88 = 6,691.84 : x
  2. Step 2: Convert to fraction form
    7,807.20/10,765.88 = 6,691.84/x
  3. Step 3: Cross multiply
    7,807.20x = 10,765.88 × 6,691.84
  4. Step 4: Simplify right side
    7,807.20x = 72,043,546.42
  5. Step 5: Solve for x
    x = 72,043,546.42/7,807.20
  6. Step 6: Final answer
    x = 9,227.83

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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.