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Finding the Fourth Proportional to 6,802.98, 10,202.79 and 1,872.38

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Solution

The fourth proportional to 6,802.98, 10,202.79 and 1,872.38 is: 2,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.98 : 10,202.79 = 1,872.38 : x
  2. Step 2: Convert to fraction form
    6,802.98/10,202.79 = 1,872.38/x
  3. Step 3: Cross multiply
    6,802.98x = 10,202.79 × 1,872.38
  4. Step 4: Simplify right side
    6,802.98x = 19,103,499.94
  5. Step 5: Solve for x
    x = 19,103,499.94/6,802.98
  6. Step 6: Final answer
    x = 2,808.11

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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.