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Finding the Fourth Proportional to 10,120.95, 13,959.14 and 8,789.31

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Solution

The fourth proportional to 10,120.95, 13,959.14 and 8,789.31 is: 12,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120.95 : 13,959.14 = 8,789.31 : x
  2. Step 2: Convert to fraction form
    10,120.95/13,959.14 = 8,789.31/x
  3. Step 3: Cross multiply
    10,120.95x = 13,959.14 × 8,789.31
  4. Step 4: Simplify right side
    10,120.95x = 122,691,164.85
  5. Step 5: Solve for x
    x = 122,691,164.85/10,120.95
  6. Step 6: Final answer
    x = 12,122.49

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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.