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Finding the Fourth Proportional to 6,706.35, 10,052.22 and 2,806.20

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Solution

The fourth proportional to 6,706.35, 10,052.22 and 2,806.20 is: 4,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.35 : 10,052.22 = 2,806.20 : x
  2. Step 2: Convert to fraction form
    6,706.35/10,052.22 = 2,806.20/x
  3. Step 3: Cross multiply
    6,706.35x = 10,052.22 × 2,806.20
  4. Step 4: Simplify right side
    6,706.35x = 28,208,539.76
  5. Step 5: Solve for x
    x = 28,208,539.76/6,706.35
  6. Step 6: Final answer
    x = 4,206.24

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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.