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Finding the Fourth Proportional to 7,760.17, 11,642.09 and 2,213.59

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Solution

The fourth proportional to 7,760.17, 11,642.09 and 2,213.59 is: 3,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.17 : 11,642.09 = 2,213.59 : x
  2. Step 2: Convert to fraction form
    7,760.17/11,642.09 = 2,213.59/x
  3. Step 3: Cross multiply
    7,760.17x = 11,642.09 × 2,213.59
  4. Step 4: Simplify right side
    7,760.17x = 25,770,814.00
  5. Step 5: Solve for x
    x = 25,770,814.00/7,760.17
  6. Step 6: Final answer
    x = 3,320.91

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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.