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Finding the Fourth Proportional to 7,769.78, 10,722.31 and 4,232.91

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Solution

The fourth proportional to 7,769.78, 10,722.31 and 4,232.91 is: 5,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.78 : 10,722.31 = 4,232.91 : x
  2. Step 2: Convert to fraction form
    7,769.78/10,722.31 = 4,232.91/x
  3. Step 3: Cross multiply
    7,769.78x = 10,722.31 × 4,232.91
  4. Step 4: Simplify right side
    7,769.78x = 45,386,562.64
  5. Step 5: Solve for x
    x = 45,386,562.64/7,769.78
  6. Step 6: Final answer
    x = 5,841.43

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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.