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Finding the Fourth Proportional to 11,905.77, 17,852.18 and 5,667.19

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Solution

The fourth proportional to 11,905.77, 17,852.18 and 5,667.19 is: 8,497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.77 : 17,852.18 = 5,667.19 : x
  2. Step 2: Convert to fraction form
    11,905.77/17,852.18 = 5,667.19/x
  3. Step 3: Cross multiply
    11,905.77x = 17,852.18 × 5,667.19
  4. Step 4: Simplify right side
    11,905.77x = 101,171,695.97
  5. Step 5: Solve for x
    x = 101,171,695.97/11,905.77
  6. Step 6: Final answer
    x = 8,497.70

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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.