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Finding the Fourth Proportional to 11,447.87, 15,799.46 and 6,972.27

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Solution

The fourth proportional to 11,447.87, 15,799.46 and 6,972.27 is: 9,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.87 : 15,799.46 = 6,972.27 : x
  2. Step 2: Convert to fraction form
    11,447.87/15,799.46 = 6,972.27/x
  3. Step 3: Cross multiply
    11,447.87x = 15,799.46 × 6,972.27
  4. Step 4: Simplify right side
    11,447.87x = 110,158,006.86
  5. Step 5: Solve for x
    x = 110,158,006.86/11,447.87
  6. Step 6: Final answer
    x = 9,622.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.