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Finding the Fourth Proportional to 7,144.84, 10,708.62 and 3,680.20

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Solution

The fourth proportional to 7,144.84, 10,708.62 and 3,680.20 is: 5,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.84 : 10,708.62 = 3,680.20 : x
  2. Step 2: Convert to fraction form
    7,144.84/10,708.62 = 3,680.20/x
  3. Step 3: Cross multiply
    7,144.84x = 10,708.62 × 3,680.20
  4. Step 4: Simplify right side
    7,144.84x = 39,409,863.32
  5. Step 5: Solve for x
    x = 39,409,863.32/7,144.84
  6. Step 6: Final answer
    x = 5,515.85

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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.