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Finding the Fourth Proportional to 8,191.32, 12,282.06 and 3,261.72

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Solution

The fourth proportional to 8,191.32, 12,282.06 and 3,261.72 is: 4,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.32 : 12,282.06 = 3,261.72 : x
  2. Step 2: Convert to fraction form
    8,191.32/12,282.06 = 3,261.72/x
  3. Step 3: Cross multiply
    8,191.32x = 12,282.06 × 3,261.72
  4. Step 4: Simplify right side
    8,191.32x = 40,060,640.74
  5. Step 5: Solve for x
    x = 40,060,640.74/8,191.32
  6. Step 6: Final answer
    x = 4,890.62

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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.