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Finding the Fourth Proportional to 11,661.86, 17,496.84 and 3,871.28

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Solution

The fourth proportional to 11,661.86, 17,496.84 and 3,871.28 is: 5,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.86 : 17,496.84 = 3,871.28 : x
  2. Step 2: Convert to fraction form
    11,661.86/17,496.84 = 3,871.28/x
  3. Step 3: Cross multiply
    11,661.86x = 17,496.84 × 3,871.28
  4. Step 4: Simplify right side
    11,661.86x = 67,735,166.76
  5. Step 5: Solve for x
    x = 67,735,166.76/11,661.86
  6. Step 6: Final answer
    x = 5,808.26

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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.