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Finding the Fourth Proportional to 8,212.80, 12,316.32 and 3,284.16

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Solution

The fourth proportional to 8,212.80, 12,316.32 and 3,284.16 is: 4,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.80 : 12,316.32 = 3,284.16 : x
  2. Step 2: Convert to fraction form
    8,212.80/12,316.32 = 3,284.16/x
  3. Step 3: Cross multiply
    8,212.80x = 12,316.32 × 3,284.16
  4. Step 4: Simplify right side
    8,212.80x = 40,448,765.49
  5. Step 5: Solve for x
    x = 40,448,765.49/8,212.80
  6. Step 6: Final answer
    x = 4,925.09

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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.