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Finding the Fourth Proportional to 8,233.96, 11,363.14 and 4,508.04

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Solution

The fourth proportional to 8,233.96, 11,363.14 and 4,508.04 is: 6,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.96 : 11,363.14 = 4,508.04 : x
  2. Step 2: Convert to fraction form
    8,233.96/11,363.14 = 4,508.04/x
  3. Step 3: Cross multiply
    8,233.96x = 11,363.14 × 4,508.04
  4. Step 4: Simplify right side
    8,233.96x = 51,225,489.65
  5. Step 5: Solve for x
    x = 51,225,489.65/8,233.96
  6. Step 6: Final answer
    x = 6,221.25

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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.