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Finding the Fourth Proportional to 11,781.42, 17,674.72 and 6,524.10

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Solution

The fourth proportional to 11,781.42, 17,674.72 and 6,524.10 is: 9,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.42 : 17,674.72 = 6,524.10 : x
  2. Step 2: Convert to fraction form
    11,781.42/17,674.72 = 6,524.10/x
  3. Step 3: Cross multiply
    11,781.42x = 17,674.72 × 6,524.10
  4. Step 4: Simplify right side
    11,781.42x = 115,311,640.75
  5. Step 5: Solve for x
    x = 115,311,640.75/11,781.42
  6. Step 6: Final answer
    x = 9,787.58

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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.