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Finding the Fourth Proportional to 8,231.69, 11,356.85 and 5,713.13

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Solution

The fourth proportional to 8,231.69, 11,356.85 and 5,713.13 is: 7,882.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.69 : 11,356.85 = 5,713.13 : x
  2. Step 2: Convert to fraction form
    8,231.69/11,356.85 = 5,713.13/x
  3. Step 3: Cross multiply
    8,231.69x = 11,356.85 × 5,713.13
  4. Step 4: Simplify right side
    8,231.69x = 64,883,117.94
  5. Step 5: Solve for x
    x = 64,883,117.94/8,231.69
  6. Step 6: Final answer
    x = 7,882.12

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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.