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Finding the Fourth Proportional to 11,346.36, 17,013.78 and 5,187

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Solution

The fourth proportional to 11,346.36, 17,013.78 and 5,187 is: 7,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.36 : 17,013.78 = 5,187 : x
  2. Step 2: Convert to fraction form
    11,346.36/17,013.78 = 5,187/x
  3. Step 3: Cross multiply
    11,346.36x = 17,013.78 × 5,187
  4. Step 4: Simplify right side
    11,346.36x = 88,250,476.86
  5. Step 5: Solve for x
    x = 88,250,476.86/11,346.36
  6. Step 6: Final answer
    x = 7,777.87

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