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Finding the Fourth Proportional to 12,164.40, 16,789.56 and 7,908.06

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Solution

The fourth proportional to 12,164.40, 16,789.56 and 7,908.06 is: 10,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.40 : 16,789.56 = 7,908.06 : x
  2. Step 2: Convert to fraction form
    12,164.40/16,789.56 = 7,908.06/x
  3. Step 3: Cross multiply
    12,164.40x = 16,789.56 × 7,908.06
  4. Step 4: Simplify right side
    12,164.40x = 132,772,847.85
  5. Step 5: Solve for x
    x = 132,772,847.85/12,164.40
  6. Step 6: Final answer
    x = 10,914.87

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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.