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Finding the Fourth Proportional to 11,885.48, 17,822.22 and 6,956.60

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Solution

The fourth proportional to 11,885.48, 17,822.22 and 6,956.60 is: 10,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.48 : 17,822.22 = 6,956.60 : x
  2. Step 2: Convert to fraction form
    11,885.48/17,822.22 = 6,956.60/x
  3. Step 3: Cross multiply
    11,885.48x = 17,822.22 × 6,956.60
  4. Step 4: Simplify right side
    11,885.48x = 123,982,055.65
  5. Step 5: Solve for x
    x = 123,982,055.65/11,885.48
  6. Step 6: Final answer
    x = 10,431.39

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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.