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Finding the Fourth Proportional to 8,227.90, 11,358.75 and 5,714.38

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Solution

The fourth proportional to 8,227.90, 11,358.75 and 5,714.38 is: 7,888.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.90 : 11,358.75 = 5,714.38 : x
  2. Step 2: Convert to fraction form
    8,227.90/11,358.75 = 5,714.38/x
  3. Step 3: Cross multiply
    8,227.90x = 11,358.75 × 5,714.38
  4. Step 4: Simplify right side
    8,227.90x = 64,908,213.83
  5. Step 5: Solve for x
    x = 64,908,213.83/8,227.90
  6. Step 6: Final answer
    x = 7,888.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.