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Finding the Fourth Proportional to 7,825.32, 11,679.18 and 6,766.44

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Solution

The fourth proportional to 7,825.32, 11,679.18 and 6,766.44 is: 10,098.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.32 : 11,679.18 = 6,766.44 : x
  2. Step 2: Convert to fraction form
    7,825.32/11,679.18 = 6,766.44/x
  3. Step 3: Cross multiply
    7,825.32x = 11,679.18 × 6,766.44
  4. Step 4: Simplify right side
    7,825.32x = 79,026,470.72
  5. Step 5: Solve for x
    x = 79,026,470.72/7,825.32
  6. Step 6: Final answer
    x = 10,098.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.