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Finding the Fourth Proportional to 6,866.60, 10,299.78 and 2,186.54

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Solution

The fourth proportional to 6,866.60, 10,299.78 and 2,186.54 is: 3,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.60 : 10,299.78 = 2,186.54 : x
  2. Step 2: Convert to fraction form
    6,866.60/10,299.78 = 2,186.54/x
  3. Step 3: Cross multiply
    6,866.60x = 10,299.78 × 2,186.54
  4. Step 4: Simplify right side
    6,866.60x = 22,520,880.96
  5. Step 5: Solve for x
    x = 22,520,880.96/6,866.60
  6. Step 6: Final answer
    x = 3,279.77

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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.