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Finding the Fourth Proportional to 8,002.79, 11,043.87 and 4,466

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Solution

The fourth proportional to 8,002.79, 11,043.87 and 4,466 is: 6,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.79 : 11,043.87 = 4,466 : x
  2. Step 2: Convert to fraction form
    8,002.79/11,043.87 = 4,466/x
  3. Step 3: Cross multiply
    8,002.79x = 11,043.87 × 4,466
  4. Step 4: Simplify right side
    8,002.79x = 49,321,923.42
  5. Step 5: Solve for x
    x = 49,321,923.42/8,002.79
  6. Step 6: Final answer
    x = 6,163.09

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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.