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Finding the Fourth Proportional to 10,954, 15,116.52 and 5,986

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Solution

The fourth proportional to 10,954, 15,116.52 and 5,986 is: 8,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954 : 15,116.52 = 5,986 : x
  2. Step 2: Convert to fraction form
    10,954/15,116.52 = 5,986/x
  3. Step 3: Cross multiply
    10,954x = 15,116.52 × 5,986
  4. Step 4: Simplify right side
    10,954x = 90,487,488.72
  5. Step 5: Solve for x
    x = 90,487,488.72/10,954
  6. Step 6: Final answer
    x = 8,260.68

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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.