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Finding the Fourth Proportional to 8,648.42, 11,932.90 and 5,109.80

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Solution

The fourth proportional to 8,648.42, 11,932.90 and 5,109.80 is: 7,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.42 : 11,932.90 = 5,109.80 : x
  2. Step 2: Convert to fraction form
    8,648.42/11,932.90 = 5,109.80/x
  3. Step 3: Cross multiply
    8,648.42x = 11,932.90 × 5,109.80
  4. Step 4: Simplify right side
    8,648.42x = 60,974,732.42
  5. Step 5: Solve for x
    x = 60,974,732.42/8,648.42
  6. Step 6: Final answer
    x = 7,050.39

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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.