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Finding the Fourth Proportional to 8,001.64, 11,042.49 and 4,464.78

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Solution

The fourth proportional to 8,001.64, 11,042.49 and 4,464.78 is: 6,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.64 : 11,042.49 = 4,464.78 : x
  2. Step 2: Convert to fraction form
    8,001.64/11,042.49 = 4,464.78/x
  3. Step 3: Cross multiply
    8,001.64x = 11,042.49 × 4,464.78
  4. Step 4: Simplify right side
    8,001.64x = 49,302,288.50
  5. Step 5: Solve for x
    x = 49,302,288.50/8,001.64
  6. Step 6: Final answer
    x = 6,161.52

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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.