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Finding the Fourth Proportional to 10,234.61, 15,323.44 and 5,226.17

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Solution

The fourth proportional to 10,234.61, 15,323.44 and 5,226.17 is: 7,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.61 : 15,323.44 = 5,226.17 : x
  2. Step 2: Convert to fraction form
    10,234.61/15,323.44 = 5,226.17/x
  3. Step 3: Cross multiply
    10,234.61x = 15,323.44 × 5,226.17
  4. Step 4: Simplify right side
    10,234.61x = 80,082,902.42
  5. Step 5: Solve for x
    x = 80,082,902.42/10,234.61
  6. Step 6: Final answer
    x = 7,824.71

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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.