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Finding the Fourth Proportional to 6,870.08, 10,302.96 and 2,252

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Solution

The fourth proportional to 6,870.08, 10,302.96 and 2,252 is: 3,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.08 : 10,302.96 = 2,252 : x
  2. Step 2: Convert to fraction form
    6,870.08/10,302.96 = 2,252/x
  3. Step 3: Cross multiply
    6,870.08x = 10,302.96 × 2,252
  4. Step 4: Simplify right side
    6,870.08x = 23,202,265.92
  5. Step 5: Solve for x
    x = 23,202,265.92/6,870.08
  6. Step 6: Final answer
    x = 3,377.29

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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.