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Finding the Fourth Proportional to 10,690.26, 14,752.52 and 5,974.55

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Solution

The fourth proportional to 10,690.26, 14,752.52 and 5,974.55 is: 8,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.26 : 14,752.52 = 5,974.55 : x
  2. Step 2: Convert to fraction form
    10,690.26/14,752.52 = 5,974.55/x
  3. Step 3: Cross multiply
    10,690.26x = 14,752.52 × 5,974.55
  4. Step 4: Simplify right side
    10,690.26x = 88,139,609.54
  5. Step 5: Solve for x
    x = 88,139,609.54/10,690.26
  6. Step 6: Final answer
    x = 8,244.85

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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.