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Finding the Fourth Proportional to 7,897.46, 11,824.30 and 3,993.70

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Solution

The fourth proportional to 7,897.46, 11,824.30 and 3,993.70 is: 5,979.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.46 : 11,824.30 = 3,993.70 : x
  2. Step 2: Convert to fraction form
    7,897.46/11,824.30 = 3,993.70/x
  3. Step 3: Cross multiply
    7,897.46x = 11,824.30 × 3,993.70
  4. Step 4: Simplify right side
    7,897.46x = 47,222,706.91
  5. Step 5: Solve for x
    x = 47,222,706.91/7,897.46
  6. Step 6: Final answer
    x = 5,979.48

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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.