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Finding the Fourth Proportional to 7,142.72, 9,856.80 and 3,956

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Solution

The fourth proportional to 7,142.72, 9,856.80 and 3,956 is: 5,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.72 : 9,856.80 = 3,956 : x
  2. Step 2: Convert to fraction form
    7,142.72/9,856.80 = 3,956/x
  3. Step 3: Cross multiply
    7,142.72x = 9,856.80 × 3,956
  4. Step 4: Simplify right side
    7,142.72x = 38,993,500.80
  5. Step 5: Solve for x
    x = 38,993,500.80/7,142.72
  6. Step 6: Final answer
    x = 5,459.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.