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Finding the Fourth Proportional to 8,006.85, 11,049.21 and 4,470.66

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Solution

The fourth proportional to 8,006.85, 11,049.21 and 4,470.66 is: 6,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.85 : 11,049.21 = 4,470.66 : x
  2. Step 2: Convert to fraction form
    8,006.85/11,049.21 = 4,470.66/x
  3. Step 3: Cross multiply
    8,006.85x = 11,049.21 × 4,470.66
  4. Step 4: Simplify right side
    8,006.85x = 49,397,261.18
  5. Step 5: Solve for x
    x = 49,397,261.18/8,006.85
  6. Step 6: Final answer
    x = 6,169.38

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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.