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Finding the Fourth Proportional to 10,367.46, 14,306.98 and 5,651.64

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Solution

The fourth proportional to 10,367.46, 14,306.98 and 5,651.64 is: 7,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.46 : 14,306.98 = 5,651.64 : x
  2. Step 2: Convert to fraction form
    10,367.46/14,306.98 = 5,651.64/x
  3. Step 3: Cross multiply
    10,367.46x = 14,306.98 × 5,651.64
  4. Step 4: Simplify right side
    10,367.46x = 80,857,900.45
  5. Step 5: Solve for x
    x = 80,857,900.45/10,367.46
  6. Step 6: Final answer
    x = 7,799.20

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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.