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Finding the Fourth Proportional to 7,889.85, 11,834.71 and 2,343.24

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Solution

The fourth proportional to 7,889.85, 11,834.71 and 2,343.24 is: 3,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.85 : 11,834.71 = 2,343.24 : x
  2. Step 2: Convert to fraction form
    7,889.85/11,834.71 = 2,343.24/x
  3. Step 3: Cross multiply
    7,889.85x = 11,834.71 × 2,343.24
  4. Step 4: Simplify right side
    7,889.85x = 27,731,560.00
  5. Step 5: Solve for x
    x = 27,731,560.00/7,889.85
  6. Step 6: Final answer
    x = 3,514.84

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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.