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Finding the Fourth Proportional to 6,878.13, 10,318.94 and 3,183.02

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Solution

The fourth proportional to 6,878.13, 10,318.94 and 3,183.02 is: 4,775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.13 : 10,318.94 = 3,183.02 : x
  2. Step 2: Convert to fraction form
    6,878.13/10,318.94 = 3,183.02/x
  3. Step 3: Cross multiply
    6,878.13x = 10,318.94 × 3,183.02
  4. Step 4: Simplify right side
    6,878.13x = 32,845,392.40
  5. Step 5: Solve for x
    x = 32,845,392.40/6,878.13
  6. Step 6: Final answer
    x = 4,775.34

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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.