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Finding the Fourth Proportional to 8,024.33, 11,074.32 and 4,488.68

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Solution

The fourth proportional to 8,024.33, 11,074.32 and 4,488.68 is: 6,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.33 : 11,074.32 = 4,488.68 : x
  2. Step 2: Convert to fraction form
    8,024.33/11,074.32 = 4,488.68/x
  3. Step 3: Cross multiply
    8,024.33x = 11,074.32 × 4,488.68
  4. Step 4: Simplify right side
    8,024.33x = 49,709,106.38
  5. Step 5: Solve for x
    x = 49,709,106.38/8,024.33
  6. Step 6: Final answer
    x = 6,194.80

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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.