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Finding the Fourth Proportional to 10,234.46, 15,348.42 and 3,992.95

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Solution

The fourth proportional to 10,234.46, 15,348.42 and 3,992.95 is: 5,988.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.46 : 15,348.42 = 3,992.95 : x
  2. Step 2: Convert to fraction form
    10,234.46/15,348.42 = 3,992.95/x
  3. Step 3: Cross multiply
    10,234.46x = 15,348.42 × 3,992.95
  4. Step 4: Simplify right side
    10,234.46x = 61,285,473.64
  5. Step 5: Solve for x
    x = 61,285,473.64/10,234.46
  6. Step 6: Final answer
    x = 5,988.15

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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.