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Finding the Fourth Proportional to 7,796.66, 11,696.46 and 2,531.22

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Solution

The fourth proportional to 7,796.66, 11,696.46 and 2,531.22 is: 3,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.66 : 11,696.46 = 2,531.22 : x
  2. Step 2: Convert to fraction form
    7,796.66/11,696.46 = 2,531.22/x
  3. Step 3: Cross multiply
    7,796.66x = 11,696.46 × 2,531.22
  4. Step 4: Simplify right side
    7,796.66x = 29,606,376.61
  5. Step 5: Solve for x
    x = 29,606,376.61/7,796.66
  6. Step 6: Final answer
    x = 3,797.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.