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Finding the Fourth Proportional to 7,667.73, 10,581.57 and 4,642.38

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Solution

The fourth proportional to 7,667.73, 10,581.57 and 4,642.38 is: 6,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.73 : 10,581.57 = 4,642.38 : x
  2. Step 2: Convert to fraction form
    7,667.73/10,581.57 = 4,642.38/x
  3. Step 3: Cross multiply
    7,667.73x = 10,581.57 × 4,642.38
  4. Step 4: Simplify right side
    7,667.73x = 49,123,668.94
  5. Step 5: Solve for x
    x = 49,123,668.94/7,667.73
  6. Step 6: Final answer
    x = 6,406.55

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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.