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Finding the Fourth Proportional to 7,667.86, 10,581.40 and 4,310.81

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Solution

The fourth proportional to 7,667.86, 10,581.40 and 4,310.81 is: 5,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.86 : 10,581.40 = 4,310.81 : x
  2. Step 2: Convert to fraction form
    7,667.86/10,581.40 = 4,310.81/x
  3. Step 3: Cross multiply
    7,667.86x = 10,581.40 × 4,310.81
  4. Step 4: Simplify right side
    7,667.86x = 45,614,383.38
  5. Step 5: Solve for x
    x = 45,614,383.38/7,667.86
  6. Step 6: Final answer
    x = 5,948.78

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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.