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Finding the Fourth Proportional to 11,231.36, 15,504.96 and 7,696

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Solution

The fourth proportional to 11,231.36, 15,504.96 and 7,696 is: 10,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.36 : 15,504.96 = 7,696 : x
  2. Step 2: Convert to fraction form
    11,231.36/15,504.96 = 7,696/x
  3. Step 3: Cross multiply
    11,231.36x = 15,504.96 × 7,696
  4. Step 4: Simplify right side
    11,231.36x = 119,326,172.16
  5. Step 5: Solve for x
    x = 119,326,172.16/11,231.36
  6. Step 6: Final answer
    x = 10,624.37

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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.