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Finding the Fourth Proportional to 7,681.91, 11,524.82 and 4,170.42

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Solution

The fourth proportional to 7,681.91, 11,524.82 and 4,170.42 is: 6,256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.91 : 11,524.82 = 4,170.42 : x
  2. Step 2: Convert to fraction form
    7,681.91/11,524.82 = 4,170.42/x
  3. Step 3: Cross multiply
    7,681.91x = 11,524.82 × 4,170.42
  4. Step 4: Simplify right side
    7,681.91x = 48,063,318.97
  5. Step 5: Solve for x
    x = 48,063,318.97/7,681.91
  6. Step 6: Final answer
    x = 6,256.69

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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.