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Finding the Fourth Proportional to 6,378.10, 9,568.47 and 2,678.16

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Solution

The fourth proportional to 6,378.10, 9,568.47 and 2,678.16 is: 4,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.10 : 9,568.47 = 2,678.16 : x
  2. Step 2: Convert to fraction form
    6,378.10/9,568.47 = 2,678.16/x
  3. Step 3: Cross multiply
    6,378.10x = 9,568.47 × 2,678.16
  4. Step 4: Simplify right side
    6,378.10x = 25,625,893.62
  5. Step 5: Solve for x
    x = 25,625,893.62/6,378.10
  6. Step 6: Final answer
    x = 4,017.79

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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.