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Finding the Fourth Proportional to 6,771.80, 10,141.86 and 5,857.40

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Solution

The fourth proportional to 6,771.80, 10,141.86 and 5,857.40 is: 8,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.80 : 10,141.86 = 5,857.40 : x
  2. Step 2: Convert to fraction form
    6,771.80/10,141.86 = 5,857.40/x
  3. Step 3: Cross multiply
    6,771.80x = 10,141.86 × 5,857.40
  4. Step 4: Simplify right side
    6,771.80x = 59,404,930.76
  5. Step 5: Solve for x
    x = 59,404,930.76/6,771.80
  6. Step 6: Final answer
    x = 8,772.40

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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.