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Finding the Fourth Proportional to 7,769.66, 10,722.38 and 4,233.13

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Solution

The fourth proportional to 7,769.66, 10,722.38 and 4,233.13 is: 5,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.66 : 10,722.38 = 4,233.13 : x
  2. Step 2: Convert to fraction form
    7,769.66/10,722.38 = 4,233.13/x
  3. Step 3: Cross multiply
    7,769.66x = 10,722.38 × 4,233.13
  4. Step 4: Simplify right side
    7,769.66x = 45,389,180.48
  5. Step 5: Solve for x
    x = 45,389,180.48/7,769.66
  6. Step 6: Final answer
    x = 5,841.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.