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Finding the Fourth Proportional to 11,611.42, 17,412.67 and 5,684.65

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Solution

The fourth proportional to 11,611.42, 17,412.67 and 5,684.65 is: 8,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.42 : 17,412.67 = 5,684.65 : x
  2. Step 2: Convert to fraction form
    11,611.42/17,412.67 = 5,684.65/x
  3. Step 3: Cross multiply
    11,611.42x = 17,412.67 × 5,684.65
  4. Step 4: Simplify right side
    11,611.42x = 98,984,934.52
  5. Step 5: Solve for x
    x = 98,984,934.52/11,611.42
  6. Step 6: Final answer
    x = 8,524.79

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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.