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Finding the Fourth Proportional to 10,471.26, 15,706.88 and 2,680.06

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Solution

The fourth proportional to 10,471.26, 15,706.88 and 2,680.06 is: 4,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.26 : 15,706.88 = 2,680.06 : x
  2. Step 2: Convert to fraction form
    10,471.26/15,706.88 = 2,680.06/x
  3. Step 3: Cross multiply
    10,471.26x = 15,706.88 × 2,680.06
  4. Step 4: Simplify right side
    10,471.26x = 42,095,380.81
  5. Step 5: Solve for x
    x = 42,095,380.81/10,471.26
  6. Step 6: Final answer
    x = 4,020.09

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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.