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Finding the Fourth Proportional to 7,813.82, 11,718.27 and 2,267.54

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Solution

The fourth proportional to 7,813.82, 11,718.27 and 2,267.54 is: 3,400.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.82 : 11,718.27 = 2,267.54 : x
  2. Step 2: Convert to fraction form
    7,813.82/11,718.27 = 2,267.54/x
  3. Step 3: Cross multiply
    7,813.82x = 11,718.27 × 2,267.54
  4. Step 4: Simplify right side
    7,813.82x = 26,571,680.92
  5. Step 5: Solve for x
    x = 26,571,680.92/7,813.82
  6. Step 6: Final answer
    x = 3,400.60

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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.