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Finding the Fourth Proportional to 7,764.09, 10,714.50 and 4,227.29

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Solution

The fourth proportional to 7,764.09, 10,714.50 and 4,227.29 is: 5,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.09 : 10,714.50 = 4,227.29 : x
  2. Step 2: Convert to fraction form
    7,764.09/10,714.50 = 4,227.29/x
  3. Step 3: Cross multiply
    7,764.09x = 10,714.50 × 4,227.29
  4. Step 4: Simplify right side
    7,764.09x = 45,293,245.13
  5. Step 5: Solve for x
    x = 45,293,245.13/7,764.09
  6. Step 6: Final answer
    x = 5,833.68

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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.