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Finding the Fourth Proportional to 8,160.78, 11,261.82 and 4,434.78

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Solution

The fourth proportional to 8,160.78, 11,261.82 and 4,434.78 is: 6,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.78 : 11,261.82 = 4,434.78 : x
  2. Step 2: Convert to fraction form
    8,160.78/11,261.82 = 4,434.78/x
  3. Step 3: Cross multiply
    8,160.78x = 11,261.82 × 4,434.78
  4. Step 4: Simplify right side
    8,160.78x = 49,943,694.10
  5. Step 5: Solve for x
    x = 49,943,694.10/8,160.78
  6. Step 6: Final answer
    x = 6,119.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.