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Finding the Fourth Proportional to 8,001.90, 11,042.58 and 4,465.11

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Solution

The fourth proportional to 8,001.90, 11,042.58 and 4,465.11 is: 6,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.90 : 11,042.58 = 4,465.11 : x
  2. Step 2: Convert to fraction form
    8,001.90/11,042.58 = 4,465.11/x
  3. Step 3: Cross multiply
    8,001.90x = 11,042.58 × 4,465.11
  4. Step 4: Simplify right side
    8,001.90x = 49,306,334.38
  5. Step 5: Solve for x
    x = 49,306,334.38/8,001.90
  6. Step 6: Final answer
    x = 6,161.83

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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.