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Finding the Fourth Proportional to 8,211.82, 12,326.94 and 3,284.89

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Solution

The fourth proportional to 8,211.82, 12,326.94 and 3,284.89 is: 4,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.82 : 12,326.94 = 3,284.89 : x
  2. Step 2: Convert to fraction form
    8,211.82/12,326.94 = 3,284.89/x
  3. Step 3: Cross multiply
    8,211.82x = 12,326.94 × 3,284.89
  4. Step 4: Simplify right side
    8,211.82x = 40,492,657.35
  5. Step 5: Solve for x
    x = 40,492,657.35/8,211.82
  6. Step 6: Final answer
    x = 4,931.02

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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.