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Finding the Fourth Proportional to 7,922.50, 11,883.78 and 3,305.50

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Solution

The fourth proportional to 7,922.50, 11,883.78 and 3,305.50 is: 4,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.50 : 11,883.78 = 3,305.50 : x
  2. Step 2: Convert to fraction form
    7,922.50/11,883.78 = 3,305.50/x
  3. Step 3: Cross multiply
    7,922.50x = 11,883.78 × 3,305.50
  4. Step 4: Simplify right side
    7,922.50x = 39,281,834.79
  5. Step 5: Solve for x
    x = 39,281,834.79/7,922.50
  6. Step 6: Final answer
    x = 4,958.26

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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.