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Finding the Fourth Proportional to 6,770.70, 10,158.12 and 3,215.52

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Solution

The fourth proportional to 6,770.70, 10,158.12 and 3,215.52 is: 4,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.70 : 10,158.12 = 3,215.52 : x
  2. Step 2: Convert to fraction form
    6,770.70/10,158.12 = 3,215.52/x
  3. Step 3: Cross multiply
    6,770.70x = 10,158.12 × 3,215.52
  4. Step 4: Simplify right side
    6,770.70x = 32,663,638.02
  5. Step 5: Solve for x
    x = 32,663,638.02/6,770.70
  6. Step 6: Final answer
    x = 4,824.26

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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.