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Finding the Fourth Proportional to 10,367.20, 14,307.06 and 5,651.92

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Solution

The fourth proportional to 10,367.20, 14,307.06 and 5,651.92 is: 7,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.20 : 14,307.06 = 5,651.92 : x
  2. Step 2: Convert to fraction form
    10,367.20/14,307.06 = 5,651.92/x
  3. Step 3: Cross multiply
    10,367.20x = 14,307.06 × 5,651.92
  4. Step 4: Simplify right side
    10,367.20x = 80,862,358.56
  5. Step 5: Solve for x
    x = 80,862,358.56/10,367.20
  6. Step 6: Final answer
    x = 7,799.83

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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.