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Finding the Fourth Proportional to 11,854.37, 17,770.57 and 4,463.73

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Solution

The fourth proportional to 11,854.37, 17,770.57 and 4,463.73 is: 6,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.37 : 17,770.57 = 4,463.73 : x
  2. Step 2: Convert to fraction form
    11,854.37/17,770.57 = 4,463.73/x
  3. Step 3: Cross multiply
    11,854.37x = 17,770.57 × 4,463.73
  4. Step 4: Simplify right side
    11,854.37x = 79,322,915.25
  5. Step 5: Solve for x
    x = 79,322,915.25/11,854.37
  6. Step 6: Final answer
    x = 6,691.45

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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.