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Finding the Fourth Proportional to 7,764.61, 10,715.21 and 4,227.83

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Solution

The fourth proportional to 7,764.61, 10,715.21 and 4,227.83 is: 5,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.61 : 10,715.21 = 4,227.83 : x
  2. Step 2: Convert to fraction form
    7,764.61/10,715.21 = 4,227.83/x
  3. Step 3: Cross multiply
    7,764.61x = 10,715.21 × 4,227.83
  4. Step 4: Simplify right side
    7,764.61x = 45,302,086.29
  5. Step 5: Solve for x
    x = 45,302,086.29/7,764.61
  6. Step 6: Final answer
    x = 5,834.43

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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.