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Finding the Fourth Proportional to 5,162.92, 7,744.14 and 1,267.12

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Solution

The fourth proportional to 5,162.92, 7,744.14 and 1,267.12 is: 1,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.92 : 7,744.14 = 1,267.12 : x
  2. Step 2: Convert to fraction form
    5,162.92/7,744.14 = 1,267.12/x
  3. Step 3: Cross multiply
    5,162.92x = 7,744.14 × 1,267.12
  4. Step 4: Simplify right side
    5,162.92x = 9,812,754.68
  5. Step 5: Solve for x
    x = 9,812,754.68/5,162.92
  6. Step 6: Final answer
    x = 1,900.62

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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.