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Finding the Fourth Proportional to 7,764.50, 10,714.91 and 4,227.71

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Solution

The fourth proportional to 7,764.50, 10,714.91 and 4,227.71 is: 5,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.50 : 10,714.91 = 4,227.71 : x
  2. Step 2: Convert to fraction form
    7,764.50/10,714.91 = 4,227.71/x
  3. Step 3: Cross multiply
    7,764.50x = 10,714.91 × 4,227.71
  4. Step 4: Simplify right side
    7,764.50x = 45,299,478.58
  5. Step 5: Solve for x
    x = 45,299,478.58/7,764.50
  6. Step 6: Final answer
    x = 5,834.18

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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.