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Finding the Fourth Proportional to 7,091.80, 10,568.57 and 6,878.01

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Solution

The fourth proportional to 7,091.80, 10,568.57 and 6,878.01 is: 10,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.80 : 10,568.57 = 6,878.01 : x
  2. Step 2: Convert to fraction form
    7,091.80/10,568.57 = 6,878.01/x
  3. Step 3: Cross multiply
    7,091.80x = 10,568.57 × 6,878.01
  4. Step 4: Simplify right side
    7,091.80x = 72,690,735.39
  5. Step 5: Solve for x
    x = 72,690,735.39/7,091.80
  6. Step 6: Final answer
    x = 10,249.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.