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Finding the Fourth Proportional to 5,162.75, 7,744.14 and 1,267.16

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Solution

The fourth proportional to 5,162.75, 7,744.14 and 1,267.16 is: 1,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.75 : 7,744.14 = 1,267.16 : x
  2. Step 2: Convert to fraction form
    5,162.75/7,744.14 = 1,267.16/x
  3. Step 3: Cross multiply
    5,162.75x = 7,744.14 × 1,267.16
  4. Step 4: Simplify right side
    5,162.75x = 9,813,025.72
  5. Step 5: Solve for x
    x = 9,813,025.72/5,162.75
  6. Step 6: Final answer
    x = 1,900.74

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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.