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Finding the Fourth Proportional to 10,234.76, 15,354.29 and 3,314.12

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Solution

The fourth proportional to 10,234.76, 15,354.29 and 3,314.12 is: 4,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.76 : 15,354.29 = 3,314.12 : x
  2. Step 2: Convert to fraction form
    10,234.76/15,354.29 = 3,314.12/x
  3. Step 3: Cross multiply
    10,234.76x = 15,354.29 × 3,314.12
  4. Step 4: Simplify right side
    10,234.76x = 50,885,891.09
  5. Step 5: Solve for x
    x = 50,885,891.09/10,234.76
  6. Step 6: Final answer
    x = 4,971.87

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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.