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Finding the Fourth Proportional to 6,864.96, 10,297.17 and 3,165.96

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Solution

The fourth proportional to 6,864.96, 10,297.17 and 3,165.96 is: 4,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.96 : 10,297.17 = 3,165.96 : x
  2. Step 2: Convert to fraction form
    6,864.96/10,297.17 = 3,165.96/x
  3. Step 3: Cross multiply
    6,864.96x = 10,297.17 × 3,165.96
  4. Step 4: Simplify right side
    6,864.96x = 32,600,428.33
  5. Step 5: Solve for x
    x = 32,600,428.33/6,864.96
  6. Step 6: Final answer
    x = 4,748.82

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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.