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Finding the Fourth Proportional to 10,605.27, 14,639.36 and 7,067.19

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Solution

The fourth proportional to 10,605.27, 14,639.36 and 7,067.19 is: 9,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.27 : 14,639.36 = 7,067.19 : x
  2. Step 2: Convert to fraction form
    10,605.27/14,639.36 = 7,067.19/x
  3. Step 3: Cross multiply
    10,605.27x = 14,639.36 × 7,067.19
  4. Step 4: Simplify right side
    10,605.27x = 103,459,103.26
  5. Step 5: Solve for x
    x = 103,459,103.26/10,605.27
  6. Step 6: Final answer
    x = 9,755.44

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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.