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Finding the Fourth Proportional to 11,801.76, 17,687.64 and 5,548.02

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Solution

The fourth proportional to 11,801.76, 17,687.64 and 5,548.02 is: 8,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.76 : 17,687.64 = 5,548.02 : x
  2. Step 2: Convert to fraction form
    11,801.76/17,687.64 = 5,548.02/x
  3. Step 3: Cross multiply
    11,801.76x = 17,687.64 × 5,548.02
  4. Step 4: Simplify right side
    11,801.76x = 98,131,380.47
  5. Step 5: Solve for x
    x = 98,131,380.47/11,801.76
  6. Step 6: Final answer
    x = 8,314.98

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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.