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Finding the Fourth Proportional to 11,704.21, 16,152.12 and 6,991.21

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Solution

The fourth proportional to 11,704.21, 16,152.12 and 6,991.21 is: 9,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.21 : 16,152.12 = 6,991.21 : x
  2. Step 2: Convert to fraction form
    11,704.21/16,152.12 = 6,991.21/x
  3. Step 3: Cross multiply
    11,704.21x = 16,152.12 × 6,991.21
  4. Step 4: Simplify right side
    11,704.21x = 112,922,862.87
  5. Step 5: Solve for x
    x = 112,922,862.87/11,704.21
  6. Step 6: Final answer
    x = 9,648.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.