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Finding the Fourth Proportional to 7,764.65, 10,714.85 and 4,227.85

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Solution

The fourth proportional to 7,764.65, 10,714.85 and 4,227.85 is: 5,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.65 : 10,714.85 = 4,227.85 : x
  2. Step 2: Convert to fraction form
    7,764.65/10,714.85 = 4,227.85/x
  3. Step 3: Cross multiply
    7,764.65x = 10,714.85 × 4,227.85
  4. Step 4: Simplify right side
    7,764.65x = 45,300,778.57
  5. Step 5: Solve for x
    x = 45,300,778.57/7,764.65
  6. Step 6: Final answer
    x = 5,834.23

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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.