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Finding the Fourth Proportional to 6,802.38, 10,202.83 and 1,872.72

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Solution

The fourth proportional to 6,802.38, 10,202.83 and 1,872.72 is: 2,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.38 : 10,202.83 = 1,872.72 : x
  2. Step 2: Convert to fraction form
    6,802.38/10,202.83 = 1,872.72/x
  3. Step 3: Cross multiply
    6,802.38x = 10,202.83 × 1,872.72
  4. Step 4: Simplify right side
    6,802.38x = 19,107,039.12
  5. Step 5: Solve for x
    x = 19,107,039.12/6,802.38
  6. Step 6: Final answer
    x = 2,808.88

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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.