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Finding the Fourth Proportional to 6,857.01, 10,285.71 and 2,177.04

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Solution

The fourth proportional to 6,857.01, 10,285.71 and 2,177.04 is: 3,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.01 : 10,285.71 = 2,177.04 : x
  2. Step 2: Convert to fraction form
    6,857.01/10,285.71 = 2,177.04/x
  3. Step 3: Cross multiply
    6,857.01x = 10,285.71 × 2,177.04
  4. Step 4: Simplify right side
    6,857.01x = 22,392,402.10
  5. Step 5: Solve for x
    x = 22,392,402.10/6,857.01
  6. Step 6: Final answer
    x = 3,265.62

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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.