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Finding the Fourth Proportional to 8,001.65, 11,042.23 and 4,464.85

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Solution

The fourth proportional to 8,001.65, 11,042.23 and 4,464.85 is: 6,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.65 : 11,042.23 = 4,464.85 : x
  2. Step 2: Convert to fraction form
    8,001.65/11,042.23 = 4,464.85/x
  3. Step 3: Cross multiply
    8,001.65x = 11,042.23 × 4,464.85
  4. Step 4: Simplify right side
    8,001.65x = 49,301,900.62
  5. Step 5: Solve for x
    x = 49,301,900.62/8,001.65
  6. Step 6: Final answer
    x = 6,161.47

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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.