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Finding the Fourth Proportional to 7,850.96, 11,778.24 and 2,304.72

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Solution

The fourth proportional to 7,850.96, 11,778.24 and 2,304.72 is: 3,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.96 : 11,778.24 = 2,304.72 : x
  2. Step 2: Convert to fraction form
    7,850.96/11,778.24 = 2,304.72/x
  3. Step 3: Cross multiply
    7,850.96x = 11,778.24 × 2,304.72
  4. Step 4: Simplify right side
    7,850.96x = 27,145,545.29
  5. Step 5: Solve for x
    x = 27,145,545.29/7,850.96
  6. Step 6: Final answer
    x = 3,457.61

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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.