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Finding the Fourth Proportional to 7,764.57, 10,715.12 and 4,227.80

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Solution

The fourth proportional to 7,764.57, 10,715.12 and 4,227.80 is: 5,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.57 : 10,715.12 = 4,227.80 : x
  2. Step 2: Convert to fraction form
    7,764.57/10,715.12 = 4,227.80/x
  3. Step 3: Cross multiply
    7,764.57x = 10,715.12 × 4,227.80
  4. Step 4: Simplify right side
    7,764.57x = 45,301,330.76
  5. Step 5: Solve for x
    x = 45,301,330.76/7,764.57
  6. Step 6: Final answer
    x = 5,834.36

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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.