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Finding the Fourth Proportional to 10,820.77, 16,229.11 and 3,799.14

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Solution

The fourth proportional to 10,820.77, 16,229.11 and 3,799.14 is: 5,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.77 : 16,229.11 = 3,799.14 : x
  2. Step 2: Convert to fraction form
    10,820.77/16,229.11 = 3,799.14/x
  3. Step 3: Cross multiply
    10,820.77x = 16,229.11 × 3,799.14
  4. Step 4: Simplify right side
    10,820.77x = 61,656,590.61
  5. Step 5: Solve for x
    x = 61,656,590.61/10,820.77
  6. Step 6: Final answer
    x = 5,697.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.