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Finding the Fourth Proportional to 10,367.40, 14,306.98 and 5,651.68

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Solution

The fourth proportional to 10,367.40, 14,306.98 and 5,651.68 is: 7,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.40 : 14,306.98 = 5,651.68 : x
  2. Step 2: Convert to fraction form
    10,367.40/14,306.98 = 5,651.68/x
  3. Step 3: Cross multiply
    10,367.40x = 14,306.98 × 5,651.68
  4. Step 4: Simplify right side
    10,367.40x = 80,858,472.73
  5. Step 5: Solve for x
    x = 80,858,472.73/10,367.40
  6. Step 6: Final answer
    x = 7,799.30

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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.