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Finding the Fourth Proportional to 6,801.68, 10,202.10 and 1,870.94

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Solution

The fourth proportional to 6,801.68, 10,202.10 and 1,870.94 is: 2,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.68 : 10,202.10 = 1,870.94 : x
  2. Step 2: Convert to fraction form
    6,801.68/10,202.10 = 1,870.94/x
  3. Step 3: Cross multiply
    6,801.68x = 10,202.10 × 1,870.94
  4. Step 4: Simplify right side
    6,801.68x = 19,087,516.97
  5. Step 5: Solve for x
    x = 19,087,516.97/6,801.68
  6. Step 6: Final answer
    x = 2,806.29

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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.