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Finding the Fourth Proportional to 8,233.74, 11,363.49 and 5,715.18

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Solution

The fourth proportional to 8,233.74, 11,363.49 and 5,715.18 is: 7,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.74 : 11,363.49 = 5,715.18 : x
  2. Step 2: Convert to fraction form
    8,233.74/11,363.49 = 5,715.18/x
  3. Step 3: Cross multiply
    8,233.74x = 11,363.49 × 5,715.18
  4. Step 4: Simplify right side
    8,233.74x = 64,944,390.78
  5. Step 5: Solve for x
    x = 64,944,390.78/8,233.74
  6. Step 6: Final answer
    x = 7,887.59

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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.