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Finding the Fourth Proportional to 8,667.68, 11,961.38 and 4,688.82

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Solution

The fourth proportional to 8,667.68, 11,961.38 and 4,688.82 is: 6,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.68 : 11,961.38 = 4,688.82 : x
  2. Step 2: Convert to fraction form
    8,667.68/11,961.38 = 4,688.82/x
  3. Step 3: Cross multiply
    8,667.68x = 11,961.38 × 4,688.82
  4. Step 4: Simplify right side
    8,667.68x = 56,084,757.77
  5. Step 5: Solve for x
    x = 56,084,757.77/8,667.68
  6. Step 6: Final answer
    x = 6,470.56

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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.