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Finding the Fourth Proportional to 11,451.87, 15,785.01 and 8,089.29

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Solution

The fourth proportional to 11,451.87, 15,785.01 and 8,089.29 is: 11,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.87 : 15,785.01 = 8,089.29 : x
  2. Step 2: Convert to fraction form
    11,451.87/15,785.01 = 8,089.29/x
  3. Step 3: Cross multiply
    11,451.87x = 15,785.01 × 8,089.29
  4. Step 4: Simplify right side
    11,451.87x = 127,689,523.54
  5. Step 5: Solve for x
    x = 127,689,523.54/11,451.87
  6. Step 6: Final answer
    x = 11,150.10

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Why These Related Problems?

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