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Finding the Fourth Proportional to 11,535.21, 17,304.03 and 5,686.20

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Solution

The fourth proportional to 11,535.21, 17,304.03 and 5,686.20 is: 8,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.21 : 17,304.03 = 5,686.20 : x
  2. Step 2: Convert to fraction form
    11,535.21/17,304.03 = 5,686.20/x
  3. Step 3: Cross multiply
    11,535.21x = 17,304.03 × 5,686.20
  4. Step 4: Simplify right side
    11,535.21x = 98,394,175.39
  5. Step 5: Solve for x
    x = 98,394,175.39/11,535.21
  6. Step 6: Final answer
    x = 8,529.90

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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.