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Finding the Fourth Proportional to 6,725.77, 10,087.27 and 2,564.84

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Solution

The fourth proportional to 6,725.77, 10,087.27 and 2,564.84 is: 3,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.77 : 10,087.27 = 2,564.84 : x
  2. Step 2: Convert to fraction form
    6,725.77/10,087.27 = 2,564.84/x
  3. Step 3: Cross multiply
    6,725.77x = 10,087.27 × 2,564.84
  4. Step 4: Simplify right side
    6,725.77x = 25,872,252.39
  5. Step 5: Solve for x
    x = 25,872,252.39/6,725.77
  6. Step 6: Final answer
    x = 3,846.74

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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.