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Finding the Fourth Proportional to 7,858.50, 11,785.41 and 3,696.18

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Solution

The fourth proportional to 7,858.50, 11,785.41 and 3,696.18 is: 5,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.50 : 11,785.41 = 3,696.18 : x
  2. Step 2: Convert to fraction form
    7,858.50/11,785.41 = 3,696.18/x
  3. Step 3: Cross multiply
    7,858.50x = 11,785.41 × 3,696.18
  4. Step 4: Simplify right side
    7,858.50x = 43,560,996.73
  5. Step 5: Solve for x
    x = 43,560,996.73/7,858.50
  6. Step 6: Final answer
    x = 5,543.17

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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.