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Finding the Fourth Proportional to 6,870.41, 10,297.17 and 2,706.24

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Solution

The fourth proportional to 6,870.41, 10,297.17 and 2,706.24 is: 4,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.41 : 10,297.17 = 2,706.24 : x
  2. Step 2: Convert to fraction form
    6,870.41/10,297.17 = 2,706.24/x
  3. Step 3: Cross multiply
    6,870.41x = 10,297.17 × 2,706.24
  4. Step 4: Simplify right side
    6,870.41x = 27,866,613.34
  5. Step 5: Solve for x
    x = 27,866,613.34/6,870.41
  6. Step 6: Final answer
    x = 4,056.04

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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.