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Finding the Fourth Proportional to 8,001.77, 11,042.43 and 4,464.98

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Solution

The fourth proportional to 8,001.77, 11,042.43 and 4,464.98 is: 6,161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.77 : 11,042.43 = 4,464.98 : x
  2. Step 2: Convert to fraction form
    8,001.77/11,042.43 = 4,464.98/x
  3. Step 3: Cross multiply
    8,001.77x = 11,042.43 × 4,464.98
  4. Step 4: Simplify right side
    8,001.77x = 49,304,151.56
  5. Step 5: Solve for x
    x = 49,304,151.56/8,001.77
  6. Step 6: Final answer
    x = 6,161.66

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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.