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Finding the Fourth Proportional to 7,817.15, 11,725.73 and 1,974.21

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Solution

The fourth proportional to 7,817.15, 11,725.73 and 1,974.21 is: 2,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.15 : 11,725.73 = 1,974.21 : x
  2. Step 2: Convert to fraction form
    7,817.15/11,725.73 = 1,974.21/x
  3. Step 3: Cross multiply
    7,817.15x = 11,725.73 × 1,974.21
  4. Step 4: Simplify right side
    7,817.15x = 23,149,043.55
  5. Step 5: Solve for x
    x = 23,149,043.55/7,817.15
  6. Step 6: Final answer
    x = 2,961.32

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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.