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Finding the Fourth Proportional to 8,216.18, 11,338.78 and 5,072.42

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Solution

The fourth proportional to 8,216.18, 11,338.78 and 5,072.42 is: 7,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.18 : 11,338.78 = 5,072.42 : x
  2. Step 2: Convert to fraction form
    8,216.18/11,338.78 = 5,072.42/x
  3. Step 3: Cross multiply
    8,216.18x = 11,338.78 × 5,072.42
  4. Step 4: Simplify right side
    8,216.18x = 57,515,054.45
  5. Step 5: Solve for x
    x = 57,515,054.45/8,216.18
  6. Step 6: Final answer
    x = 7,000.22

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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.