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Finding the Fourth Proportional to 8,456.16, 12,684.80 and 2,216.33

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Solution

The fourth proportional to 8,456.16, 12,684.80 and 2,216.33 is: 3,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.16 : 12,684.80 = 2,216.33 : x
  2. Step 2: Convert to fraction form
    8,456.16/12,684.80 = 2,216.33/x
  3. Step 3: Cross multiply
    8,456.16x = 12,684.80 × 2,216.33
  4. Step 4: Simplify right side
    8,456.16x = 28,113,692.47
  5. Step 5: Solve for x
    x = 28,113,692.47/8,456.16
  6. Step 6: Final answer
    x = 3,324.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.