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Finding the Fourth Proportional to 6,725.70, 10,093.77 and 4,660.18

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Solution

The fourth proportional to 6,725.70, 10,093.77 and 4,660.18 is: 6,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.70 : 10,093.77 = 4,660.18 : x
  2. Step 2: Convert to fraction form
    6,725.70/10,093.77 = 4,660.18/x
  3. Step 3: Cross multiply
    6,725.70x = 10,093.77 × 4,660.18
  4. Step 4: Simplify right side
    6,725.70x = 47,038,759.84
  5. Step 5: Solve for x
    x = 47,038,759.84/6,725.70
  6. Step 6: Final answer
    x = 6,993.88

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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.