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Finding the Fourth Proportional to 8,002.39, 11,042.71 and 4,644.66

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Solution

The fourth proportional to 8,002.39, 11,042.71 and 4,644.66 is: 6,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.39 : 11,042.71 = 4,644.66 : x
  2. Step 2: Convert to fraction form
    8,002.39/11,042.71 = 4,644.66/x
  3. Step 3: Cross multiply
    8,002.39x = 11,042.71 × 4,644.66
  4. Step 4: Simplify right side
    8,002.39x = 51,289,687.32
  5. Step 5: Solve for x
    x = 51,289,687.32/8,002.39
  6. Step 6: Final answer
    x = 6,409.29

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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.