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Finding the Fourth Proportional to 11,867.92, 17,796.02 and 6,319.78

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Solution

The fourth proportional to 11,867.92, 17,796.02 and 6,319.78 is: 9,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.92 : 17,796.02 = 6,319.78 : x
  2. Step 2: Convert to fraction form
    11,867.92/17,796.02 = 6,319.78/x
  3. Step 3: Cross multiply
    11,867.92x = 17,796.02 × 6,319.78
  4. Step 4: Simplify right side
    11,867.92x = 112,466,931.28
  5. Step 5: Solve for x
    x = 112,466,931.28/11,867.92
  6. Step 6: Final answer
    x = 9,476.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.