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Finding the Fourth Proportional to 7,693.31, 11,529.25 and 5,817.66

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Solution

The fourth proportional to 7,693.31, 11,529.25 and 5,817.66 is: 8,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.31 : 11,529.25 = 5,817.66 : x
  2. Step 2: Convert to fraction form
    7,693.31/11,529.25 = 5,817.66/x
  3. Step 3: Cross multiply
    7,693.31x = 11,529.25 × 5,817.66
  4. Step 4: Simplify right side
    7,693.31x = 67,073,198.78
  5. Step 5: Solve for x
    x = 67,073,198.78/7,693.31
  6. Step 6: Final answer
    x = 8,718.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.