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Finding the Fourth Proportional to 8,624.82, 11,902.26 and 4,898.82

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Solution

The fourth proportional to 8,624.82, 11,902.26 and 4,898.82 is: 6,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.82 : 11,902.26 = 4,898.82 : x
  2. Step 2: Convert to fraction form
    8,624.82/11,902.26 = 4,898.82/x
  3. Step 3: Cross multiply
    8,624.82x = 11,902.26 × 4,898.82
  4. Step 4: Simplify right side
    8,624.82x = 58,307,029.33
  5. Step 5: Solve for x
    x = 58,307,029.33/8,624.82
  6. Step 6: Final answer
    x = 6,760.38

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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.