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Finding the Fourth Proportional to 7,769.98, 10,722.89 and 4,233.38

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Solution

The fourth proportional to 7,769.98, 10,722.89 and 4,233.38 is: 5,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.98 : 10,722.89 = 4,233.38 : x
  2. Step 2: Convert to fraction form
    7,769.98/10,722.89 = 4,233.38/x
  3. Step 3: Cross multiply
    7,769.98x = 10,722.89 × 4,233.38
  4. Step 4: Simplify right side
    7,769.98x = 45,394,068.07
  5. Step 5: Solve for x
    x = 45,394,068.07/7,769.98
  6. Step 6: Final answer
    x = 5,842.24

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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.