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Finding the Fourth Proportional to 10,224.78, 15,317.37 and 7,882.62

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Solution

The fourth proportional to 10,224.78, 15,317.37 and 7,882.62 is: 11,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.78 : 15,317.37 = 7,882.62 : x
  2. Step 2: Convert to fraction form
    10,224.78/15,317.37 = 7,882.62/x
  3. Step 3: Cross multiply
    10,224.78x = 15,317.37 × 7,882.62
  4. Step 4: Simplify right side
    10,224.78x = 120,741,007.11
  5. Step 5: Solve for x
    x = 120,741,007.11/10,224.78
  6. Step 6: Final answer
    x = 11,808.67

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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.