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Finding the Fourth Proportional to 6,871.96, 10,298.51 and 3,578.23

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Solution

The fourth proportional to 6,871.96, 10,298.51 and 3,578.23 is: 5,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.96 : 10,298.51 = 3,578.23 : x
  2. Step 2: Convert to fraction form
    6,871.96/10,298.51 = 3,578.23/x
  3. Step 3: Cross multiply
    6,871.96x = 10,298.51 × 3,578.23
  4. Step 4: Simplify right side
    6,871.96x = 36,850,437.44
  5. Step 5: Solve for x
    x = 36,850,437.44/6,871.96
  6. Step 6: Final answer
    x = 5,362.43

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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.