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Finding the Fourth Proportional to 7,759.20, 10,702.88 and 6,766.86

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Solution

The fourth proportional to 7,759.20, 10,702.88 and 6,766.86 is: 9,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.20 : 10,702.88 = 6,766.86 : x
  2. Step 2: Convert to fraction form
    7,759.20/10,702.88 = 6,766.86/x
  3. Step 3: Cross multiply
    7,759.20x = 10,702.88 × 6,766.86
  4. Step 4: Simplify right side
    7,759.20x = 72,424,890.56
  5. Step 5: Solve for x
    x = 72,424,890.56/7,759.20
  6. Step 6: Final answer
    x = 9,334.07

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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.