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Finding the Fourth Proportional to 11,074, 16,589.69 and 8,721.56

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Solution

The fourth proportional to 11,074, 16,589.69 and 8,721.56 is: 13,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074 : 16,589.69 = 8,721.56 : x
  2. Step 2: Convert to fraction form
    11,074/16,589.69 = 8,721.56/x
  3. Step 3: Cross multiply
    11,074x = 16,589.69 × 8,721.56
  4. Step 4: Simplify right side
    11,074x = 144,687,976.72
  5. Step 5: Solve for x
    x = 144,687,976.72/11,074
  6. Step 6: Final answer
    x = 13,065.56

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