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Finding the Fourth Proportional to 11,774.35, 16,228.92 and 8,938.54

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Solution

The fourth proportional to 11,774.35, 16,228.92 and 8,938.54 is: 12,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.35 : 16,228.92 = 8,938.54 : x
  2. Step 2: Convert to fraction form
    11,774.35/16,228.92 = 8,938.54/x
  3. Step 3: Cross multiply
    11,774.35x = 16,228.92 × 8,938.54
  4. Step 4: Simplify right side
    11,774.35x = 145,062,850.58
  5. Step 5: Solve for x
    x = 145,062,850.58/11,774.35
  6. Step 6: Final answer
    x = 12,320.24

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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.