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Finding the Fourth Proportional to 7,769.56, 10,722.16 and 4,232.76

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Solution

The fourth proportional to 7,769.56, 10,722.16 and 4,232.76 is: 5,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.56 : 10,722.16 = 4,232.76 : x
  2. Step 2: Convert to fraction form
    7,769.56/10,722.16 = 4,232.76/x
  3. Step 3: Cross multiply
    7,769.56x = 10,722.16 × 4,232.76
  4. Step 4: Simplify right side
    7,769.56x = 45,384,329.96
  5. Step 5: Solve for x
    x = 45,384,329.96/7,769.56
  6. Step 6: Final answer
    x = 5,841.30

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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.