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Finding the Fourth Proportional to 8,211.12, 12,316.74 and 3,282

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Solution

The fourth proportional to 8,211.12, 12,316.74 and 3,282 is: 4,923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.12 : 12,316.74 = 3,282 : x
  2. Step 2: Convert to fraction form
    8,211.12/12,316.74 = 3,282/x
  3. Step 3: Cross multiply
    8,211.12x = 12,316.74 × 3,282
  4. Step 4: Simplify right side
    8,211.12x = 40,423,540.68
  5. Step 5: Solve for x
    x = 40,423,540.68/8,211.12
  6. Step 6: Final answer
    x = 4,923.02

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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.