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Finding the Fourth Proportional to 7,769.92, 10,722.52 and 4,233.12

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Solution

The fourth proportional to 7,769.92, 10,722.52 and 4,233.12 is: 5,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.92 : 10,722.52 = 4,233.12 : x
  2. Step 2: Convert to fraction form
    7,769.92/10,722.52 = 4,233.12/x
  3. Step 3: Cross multiply
    7,769.92x = 10,722.52 × 4,233.12
  4. Step 4: Simplify right side
    7,769.92x = 45,389,713.86
  5. Step 5: Solve for x
    x = 45,389,713.86/7,769.92
  6. Step 6: Final answer
    x = 5,841.72

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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.