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Finding the Fourth Proportional to 11,115.88, 16,678.14 and 4,195.24

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Solution

The fourth proportional to 11,115.88, 16,678.14 and 4,195.24 is: 6,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,115.88 : 16,678.14 = 4,195.24 : x
  2. Step 2: Convert to fraction form
    11,115.88/16,678.14 = 4,195.24/x
  3. Step 3: Cross multiply
    11,115.88x = 16,678.14 × 4,195.24
  4. Step 4: Simplify right side
    11,115.88x = 69,968,800.05
  5. Step 5: Solve for x
    x = 69,968,800.05/11,115.88
  6. Step 6: Final answer
    x = 6,294.49

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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.