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Finding the Fourth Proportional to 8,706.44, 13,061 and 2,861.68

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Solution

The fourth proportional to 8,706.44, 13,061 and 2,861.68 is: 4,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.44 : 13,061 = 2,861.68 : x
  2. Step 2: Convert to fraction form
    8,706.44/13,061 = 2,861.68/x
  3. Step 3: Cross multiply
    8,706.44x = 13,061 × 2,861.68
  4. Step 4: Simplify right side
    8,706.44x = 37,376,402.48
  5. Step 5: Solve for x
    x = 37,376,402.48/8,706.44
  6. Step 6: Final answer
    x = 4,292.96

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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.