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Finding the Fourth Proportional to 8,216.31, 11,338.80 and 4,679.76

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Solution

The fourth proportional to 8,216.31, 11,338.80 and 4,679.76 is: 6,458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.31 : 11,338.80 = 4,679.76 : x
  2. Step 2: Convert to fraction form
    8,216.31/11,338.80 = 4,679.76/x
  3. Step 3: Cross multiply
    8,216.31x = 11,338.80 × 4,679.76
  4. Step 4: Simplify right side
    8,216.31x = 53,062,862.69
  5. Step 5: Solve for x
    x = 53,062,862.69/8,216.31
  6. Step 6: Final answer
    x = 6,458.24

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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.