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Finding the Fourth Proportional to 8,415.96, 12,620.20 and 3,218.16

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Solution

The fourth proportional to 8,415.96, 12,620.20 and 3,218.16 is: 4,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.96 : 12,620.20 = 3,218.16 : x
  2. Step 2: Convert to fraction form
    8,415.96/12,620.20 = 3,218.16/x
  3. Step 3: Cross multiply
    8,415.96x = 12,620.20 × 3,218.16
  4. Step 4: Simplify right side
    8,415.96x = 40,613,822.83
  5. Step 5: Solve for x
    x = 40,613,822.83/8,415.96
  6. Step 6: Final answer
    x = 4,825.81

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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.