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Finding the Fourth Proportional to 11,901.13, 17,856.86 and 5,661.09

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Solution

The fourth proportional to 11,901.13, 17,856.86 and 5,661.09 is: 8,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.13 : 17,856.86 = 5,661.09 : x
  2. Step 2: Convert to fraction form
    11,901.13/17,856.86 = 5,661.09/x
  3. Step 3: Cross multiply
    11,901.13x = 17,856.86 × 5,661.09
  4. Step 4: Simplify right side
    11,901.13x = 101,089,263.27
  5. Step 5: Solve for x
    x = 101,089,263.27/11,901.13
  6. Step 6: Final answer
    x = 8,494.09

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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.