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Finding the Fourth Proportional to 7,759.32, 11,640.54 and 2,214.36

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Solution

The fourth proportional to 7,759.32, 11,640.54 and 2,214.36 is: 3,321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.32 : 11,640.54 = 2,214.36 : x
  2. Step 2: Convert to fraction form
    7,759.32/11,640.54 = 2,214.36/x
  3. Step 3: Cross multiply
    7,759.32x = 11,640.54 × 2,214.36
  4. Step 4: Simplify right side
    7,759.32x = 25,776,346.15
  5. Step 5: Solve for x
    x = 25,776,346.15/7,759.32
  6. Step 6: Final answer
    x = 3,321.99

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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.