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Finding the Fourth Proportional to 7,814.88, 11,722.32 and 2,342.88

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Solution

The fourth proportional to 7,814.88, 11,722.32 and 2,342.88 is: 3,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.88 : 11,722.32 = 2,342.88 : x
  2. Step 2: Convert to fraction form
    7,814.88/11,722.32 = 2,342.88/x
  3. Step 3: Cross multiply
    7,814.88x = 11,722.32 × 2,342.88
  4. Step 4: Simplify right side
    7,814.88x = 27,463,918.76
  5. Step 5: Solve for x
    x = 27,463,918.76/7,814.88
  6. Step 6: Final answer
    x = 3,514.31

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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.