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Finding the Fourth Proportional to 8,216.50, 11,338.77 and 5,277.62

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Solution

The fourth proportional to 8,216.50, 11,338.77 and 5,277.62 is: 7,283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.50 : 11,338.77 = 5,277.62 : x
  2. Step 2: Convert to fraction form
    8,216.50/11,338.77 = 5,277.62/x
  3. Step 3: Cross multiply
    8,216.50x = 11,338.77 × 5,277.62
  4. Step 4: Simplify right side
    8,216.50x = 59,841,719.33
  5. Step 5: Solve for x
    x = 59,841,719.33/8,216.50
  6. Step 6: Final answer
    x = 7,283.12

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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.