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Finding the Fourth Proportional to 11,874.60, 16,377.84 and 7,675.56

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Solution

The fourth proportional to 11,874.60, 16,377.84 and 7,675.56 is: 10,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.60 : 16,377.84 = 7,675.56 : x
  2. Step 2: Convert to fraction form
    11,874.60/16,377.84 = 7,675.56/x
  3. Step 3: Cross multiply
    11,874.60x = 16,377.84 × 7,675.56
  4. Step 4: Simplify right side
    11,874.60x = 125,709,093.59
  5. Step 5: Solve for x
    x = 125,709,093.59/11,874.60
  6. Step 6: Final answer
    x = 10,586.39

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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.