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Finding the Fourth Proportional to 10,234.21, 15,348.05 and 3,992.70

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Solution

The fourth proportional to 10,234.21, 15,348.05 and 3,992.70 is: 5,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.21 : 15,348.05 = 3,992.70 : x
  2. Step 2: Convert to fraction form
    10,234.21/15,348.05 = 3,992.70/x
  3. Step 3: Cross multiply
    10,234.21x = 15,348.05 × 3,992.70
  4. Step 4: Simplify right side
    10,234.21x = 61,280,139.27
  5. Step 5: Solve for x
    x = 61,280,139.27/10,234.21
  6. Step 6: Final answer
    x = 5,987.78

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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.