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Finding the Fourth Proportional to 8,531.98, 11,785.63 and 7,736.20

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Solution

The fourth proportional to 8,531.98, 11,785.63 and 7,736.20 is: 10,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.98 : 11,785.63 = 7,736.20 : x
  2. Step 2: Convert to fraction form
    8,531.98/11,785.63 = 7,736.20/x
  3. Step 3: Cross multiply
    8,531.98x = 11,785.63 × 7,736.20
  4. Step 4: Simplify right side
    8,531.98x = 91,175,942.00
  5. Step 5: Solve for x
    x = 91,175,942.00/8,531.98
  6. Step 6: Final answer
    x = 10,686.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.