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Finding the Fourth Proportional to 7,084.14, 10,616.94 and 2,919.30

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Solution

The fourth proportional to 7,084.14, 10,616.94 and 2,919.30 is: 4,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.14 : 10,616.94 = 2,919.30 : x
  2. Step 2: Convert to fraction form
    7,084.14/10,616.94 = 2,919.30/x
  3. Step 3: Cross multiply
    7,084.14x = 10,616.94 × 2,919.30
  4. Step 4: Simplify right side
    7,084.14x = 30,994,032.94
  5. Step 5: Solve for x
    x = 30,994,032.94/7,084.14
  6. Step 6: Final answer
    x = 4,375.13

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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.