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Finding the Fourth Proportional to 8,049.25, 11,105.52 and 5,068.06

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Solution

The fourth proportional to 8,049.25, 11,105.52 and 5,068.06 is: 6,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.25 : 11,105.52 = 5,068.06 : x
  2. Step 2: Convert to fraction form
    8,049.25/11,105.52 = 5,068.06/x
  3. Step 3: Cross multiply
    8,049.25x = 11,105.52 × 5,068.06
  4. Step 4: Simplify right side
    8,049.25x = 56,283,441.69
  5. Step 5: Solve for x
    x = 56,283,441.69/8,049.25
  6. Step 6: Final answer
    x = 6,992.38

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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.