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Finding the Fourth Proportional to 6,011.25, 8,306.15 and 5,208.44

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Solution

The fourth proportional to 6,011.25, 8,306.15 and 5,208.44 is: 7,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.25 : 8,306.15 = 5,208.44 : x
  2. Step 2: Convert to fraction form
    6,011.25/8,306.15 = 5,208.44/x
  3. Step 3: Cross multiply
    6,011.25x = 8,306.15 × 5,208.44
  4. Step 4: Simplify right side
    6,011.25x = 43,262,016.33
  5. Step 5: Solve for x
    x = 43,262,016.33/6,011.25
  6. Step 6: Final answer
    x = 7,196.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.