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Finding the Fourth Proportional to 7,896.64, 11,842.92 and 2,348.54

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Solution

The fourth proportional to 7,896.64, 11,842.92 and 2,348.54 is: 3,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.64 : 11,842.92 = 2,348.54 : x
  2. Step 2: Convert to fraction form
    7,896.64/11,842.92 = 2,348.54/x
  3. Step 3: Cross multiply
    7,896.64x = 11,842.92 × 2,348.54
  4. Step 4: Simplify right side
    7,896.64x = 27,813,571.34
  5. Step 5: Solve for x
    x = 27,813,571.34/7,896.64
  6. Step 6: Final answer
    x = 3,522.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.