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Finding the Fourth Proportional to 6,725.57, 10,092.60 and 2,566.01

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Solution

The fourth proportional to 6,725.57, 10,092.60 and 2,566.01 is: 3,850.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.57 : 10,092.60 = 2,566.01 : x
  2. Step 2: Convert to fraction form
    6,725.57/10,092.60 = 2,566.01/x
  3. Step 3: Cross multiply
    6,725.57x = 10,092.60 × 2,566.01
  4. Step 4: Simplify right side
    6,725.57x = 25,897,737.76
  5. Step 5: Solve for x
    x = 25,897,737.76/6,725.57
  6. Step 6: Final answer
    x = 3,850.64

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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.