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Finding the Fourth Proportional to 8,215.74, 11,337.11 and 5,029.54

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Solution

The fourth proportional to 8,215.74, 11,337.11 and 5,029.54 is: 6,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.74 : 11,337.11 = 5,029.54 : x
  2. Step 2: Convert to fraction form
    8,215.74/11,337.11 = 5,029.54/x
  3. Step 3: Cross multiply
    8,215.74x = 11,337.11 × 5,029.54
  4. Step 4: Simplify right side
    8,215.74x = 57,020,448.23
  5. Step 5: Solve for x
    x = 57,020,448.23/8,215.74
  6. Step 6: Final answer
    x = 6,940.39

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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.