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Finding the Fourth Proportional to 6,863.66, 10,299.38 and 3,165.89

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Solution

The fourth proportional to 6,863.66, 10,299.38 and 3,165.89 is: 4,750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.66 : 10,299.38 = 3,165.89 : x
  2. Step 2: Convert to fraction form
    6,863.66/10,299.38 = 3,165.89/x
  3. Step 3: Cross multiply
    6,863.66x = 10,299.38 × 3,165.89
  4. Step 4: Simplify right side
    6,863.66x = 32,606,636.82
  5. Step 5: Solve for x
    x = 32,606,636.82/6,863.66
  6. Step 6: Final answer
    x = 4,750.62

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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.