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Finding the Fourth Proportional to 7,889.50, 11,835.49 and 2,342.28

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Solution

The fourth proportional to 7,889.50, 11,835.49 and 2,342.28 is: 3,513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.50 : 11,835.49 = 2,342.28 : x
  2. Step 2: Convert to fraction form
    7,889.50/11,835.49 = 2,342.28/x
  3. Step 3: Cross multiply
    7,889.50x = 11,835.49 × 2,342.28
  4. Step 4: Simplify right side
    7,889.50x = 27,722,031.52
  5. Step 5: Solve for x
    x = 27,722,031.52/7,889.50
  6. Step 6: Final answer
    x = 3,513.79

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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.