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Finding the Fourth Proportional to 6,855.70, 10,284.40 and 2,412.32

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Solution

The fourth proportional to 6,855.70, 10,284.40 and 2,412.32 is: 3,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.70 : 10,284.40 = 2,412.32 : x
  2. Step 2: Convert to fraction form
    6,855.70/10,284.40 = 2,412.32/x
  3. Step 3: Cross multiply
    6,855.70x = 10,284.40 × 2,412.32
  4. Step 4: Simplify right side
    6,855.70x = 24,809,221.12
  5. Step 5: Solve for x
    x = 24,809,221.12/6,855.70
  6. Step 6: Final answer
    x = 3,618.77

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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.