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Finding the Fourth Proportional to 11,881.64, 17,817.44 and 3,562.84

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Solution

The fourth proportional to 11,881.64, 17,817.44 and 3,562.84 is: 5,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.64 : 17,817.44 = 3,562.84 : x
  2. Step 2: Convert to fraction form
    11,881.64/17,817.44 = 3,562.84/x
  3. Step 3: Cross multiply
    11,881.64x = 17,817.44 × 3,562.84
  4. Step 4: Simplify right side
    11,881.64x = 63,480,687.93
  5. Step 5: Solve for x
    x = 63,480,687.93/11,881.64
  6. Step 6: Final answer
    x = 5,342.75

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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.