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Finding the Fourth Proportional to 7,769.95, 10,722.73 and 4,233.38

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Solution

The fourth proportional to 7,769.95, 10,722.73 and 4,233.38 is: 5,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.95 : 10,722.73 = 4,233.38 : x
  2. Step 2: Convert to fraction form
    7,769.95/10,722.73 = 4,233.38/x
  3. Step 3: Cross multiply
    7,769.95x = 10,722.73 × 4,233.38
  4. Step 4: Simplify right side
    7,769.95x = 45,393,390.73
  5. Step 5: Solve for x
    x = 45,393,390.73/7,769.95
  6. Step 6: Final answer
    x = 5,842.17

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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.