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Finding the Fourth Proportional to 11,902.38, 16,426.95 and 9,065.76

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Solution

The fourth proportional to 11,902.38, 16,426.95 and 9,065.76 is: 12,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.38 : 16,426.95 = 9,065.76 : x
  2. Step 2: Convert to fraction form
    11,902.38/16,426.95 = 9,065.76/x
  3. Step 3: Cross multiply
    11,902.38x = 16,426.95 × 9,065.76
  4. Step 4: Simplify right side
    11,902.38x = 148,922,786.23
  5. Step 5: Solve for x
    x = 148,922,786.23/11,902.38
  6. Step 6: Final answer
    x = 12,512.02

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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.