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Finding the Fourth Proportional to 11,000.12, 15,180.18 and 6,032.12

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Solution

The fourth proportional to 11,000.12, 15,180.18 and 6,032.12 is: 8,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.12 : 15,180.18 = 6,032.12 : x
  2. Step 2: Convert to fraction form
    11,000.12/15,180.18 = 6,032.12/x
  3. Step 3: Cross multiply
    11,000.12x = 15,180.18 × 6,032.12
  4. Step 4: Simplify right side
    11,000.12x = 91,568,667.38
  5. Step 5: Solve for x
    x = 91,568,667.38/11,000.12
  6. Step 6: Final answer
    x = 8,324.33

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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.