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Finding the Fourth Proportional to 10,064.29, 15,092.21 and 3,820.86

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Solution

The fourth proportional to 10,064.29, 15,092.21 and 3,820.86 is: 5,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.29 : 15,092.21 = 3,820.86 : x
  2. Step 2: Convert to fraction form
    10,064.29/15,092.21 = 3,820.86/x
  3. Step 3: Cross multiply
    10,064.29x = 15,092.21 × 3,820.86
  4. Step 4: Simplify right side
    10,064.29x = 57,665,231.05
  5. Step 5: Solve for x
    x = 57,665,231.05/10,064.29
  6. Step 6: Final answer
    x = 5,729.69

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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.