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Finding the Fourth Proportional to 7,793.71, 10,766.70 and 6,743.95

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Solution

The fourth proportional to 7,793.71, 10,766.70 and 6,743.95 is: 9,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.71 : 10,766.70 = 6,743.95 : x
  2. Step 2: Convert to fraction form
    7,793.71/10,766.70 = 6,743.95/x
  3. Step 3: Cross multiply
    7,793.71x = 10,766.70 × 6,743.95
  4. Step 4: Simplify right side
    7,793.71x = 72,610,059.55
  5. Step 5: Solve for x
    x = 72,610,059.55/7,793.71
  6. Step 6: Final answer
    x = 9,316.50

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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.