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Finding the Fourth Proportional to 11,067.40, 16,605.96 and 5,872

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Solution

The fourth proportional to 11,067.40, 16,605.96 and 5,872 is: 8,810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,067.40 : 16,605.96 = 5,872 : x
  2. Step 2: Convert to fraction form
    11,067.40/16,605.96 = 5,872/x
  3. Step 3: Cross multiply
    11,067.40x = 16,605.96 × 5,872
  4. Step 4: Simplify right side
    11,067.40x = 97,510,197.12
  5. Step 5: Solve for x
    x = 97,510,197.12/11,067.40
  6. Step 6: Final answer
    x = 8,810.58

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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.