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Finding the Fourth Proportional to 7,084.14, 10,616.99 and 4,414.64

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Solution

The fourth proportional to 7,084.14, 10,616.99 and 4,414.64 is: 6,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.14 : 10,616.99 = 4,414.64 : x
  2. Step 2: Convert to fraction form
    7,084.14/10,616.99 = 4,414.64/x
  3. Step 3: Cross multiply
    7,084.14x = 10,616.99 × 4,414.64
  4. Step 4: Simplify right side
    7,084.14x = 46,870,113.58
  5. Step 5: Solve for x
    x = 46,870,113.58/7,084.14
  6. Step 6: Final answer
    x = 6,616.20

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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.