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Finding the Fourth Proportional to 8,074, 11,144.68 and 5,872.40

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Solution

The fourth proportional to 8,074, 11,144.68 and 5,872.40 is: 8,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074 : 11,144.68 = 5,872.40 : x
  2. Step 2: Convert to fraction form
    8,074/11,144.68 = 5,872.40/x
  3. Step 3: Cross multiply
    8,074x = 11,144.68 × 5,872.40
  4. Step 4: Simplify right side
    8,074x = 65,446,018.83
  5. Step 5: Solve for x
    x = 65,446,018.83/8,074
  6. Step 6: Final answer
    x = 8,105.77

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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.