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Finding the Fourth Proportional to 8,001.48, 11,042.05 and 4,464.69

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Solution

The fourth proportional to 8,001.48, 11,042.05 and 4,464.69 is: 6,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.48 : 11,042.05 = 4,464.69 : x
  2. Step 2: Convert to fraction form
    8,001.48/11,042.05 = 4,464.69/x
  3. Step 3: Cross multiply
    8,001.48x = 11,042.05 × 4,464.69
  4. Step 4: Simplify right side
    8,001.48x = 49,299,296.75
  5. Step 5: Solve for x
    x = 49,299,296.75/8,001.48
  6. Step 6: Final answer
    x = 6,161.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.