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Finding the Fourth Proportional to 6,855.87, 10,282.94 and 2,176.37

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Solution

The fourth proportional to 6,855.87, 10,282.94 and 2,176.37 is: 3,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.87 : 10,282.94 = 2,176.37 : x
  2. Step 2: Convert to fraction form
    6,855.87/10,282.94 = 2,176.37/x
  3. Step 3: Cross multiply
    6,855.87x = 10,282.94 × 2,176.37
  4. Step 4: Simplify right side
    6,855.87x = 22,379,482.13
  5. Step 5: Solve for x
    x = 22,379,482.13/6,855.87
  6. Step 6: Final answer
    x = 3,264.28

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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.