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Finding the Fourth Proportional to 11,189.97, 16,760.66 and 10,878.93

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Solution

The fourth proportional to 11,189.97, 16,760.66 and 10,878.93 is: 16,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.97 : 16,760.66 = 10,878.93 : x
  2. Step 2: Convert to fraction form
    11,189.97/16,760.66 = 10,878.93/x
  3. Step 3: Cross multiply
    11,189.97x = 16,760.66 × 10,878.93
  4. Step 4: Simplify right side
    11,189.97x = 182,337,992.50
  5. Step 5: Solve for x
    x = 182,337,992.50/11,189.97
  6. Step 6: Final answer
    x = 16,294.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.