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Finding the Fourth Proportional to 8,713.66, 13,067.21 and 3,165.63

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Solution

The fourth proportional to 8,713.66, 13,067.21 and 3,165.63 is: 4,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.66 : 13,067.21 = 3,165.63 : x
  2. Step 2: Convert to fraction form
    8,713.66/13,067.21 = 3,165.63/x
  3. Step 3: Cross multiply
    8,713.66x = 13,067.21 × 3,165.63
  4. Step 4: Simplify right side
    8,713.66x = 41,365,959.91
  5. Step 5: Solve for x
    x = 41,365,959.91/8,713.66
  6. Step 6: Final answer
    x = 4,747.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.