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Finding the Fourth Proportional to 7,861.92, 11,792.70 and 2,315.12

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Solution

The fourth proportional to 7,861.92, 11,792.70 and 2,315.12 is: 3,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.92 : 11,792.70 = 2,315.12 : x
  2. Step 2: Convert to fraction form
    7,861.92/11,792.70 = 2,315.12/x
  3. Step 3: Cross multiply
    7,861.92x = 11,792.70 × 2,315.12
  4. Step 4: Simplify right side
    7,861.92x = 27,301,515.62
  5. Step 5: Solve for x
    x = 27,301,515.62/7,861.92
  6. Step 6: Final answer
    x = 3,472.63

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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.