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Finding the Fourth Proportional to 10,022.72, 13,812.64 and 8,243.52

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Solution

The fourth proportional to 10,022.72, 13,812.64 and 8,243.52 is: 11,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.72 : 13,812.64 = 8,243.52 : x
  2. Step 2: Convert to fraction form
    10,022.72/13,812.64 = 8,243.52/x
  3. Step 3: Cross multiply
    10,022.72x = 13,812.64 × 8,243.52
  4. Step 4: Simplify right side
    10,022.72x = 113,864,774.09
  5. Step 5: Solve for x
    x = 113,864,774.09/10,022.72
  6. Step 6: Final answer
    x = 11,360.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.