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Finding the Fourth Proportional to 7,076.46, 10,617.44 and 2,146.14

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Solution

The fourth proportional to 7,076.46, 10,617.44 and 2,146.14 is: 3,220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.46 : 10,617.44 = 2,146.14 : x
  2. Step 2: Convert to fraction form
    7,076.46/10,617.44 = 2,146.14/x
  3. Step 3: Cross multiply
    7,076.46x = 10,617.44 × 2,146.14
  4. Step 4: Simplify right side
    7,076.46x = 22,786,512.68
  5. Step 5: Solve for x
    x = 22,786,512.68/7,076.46
  6. Step 6: Final answer
    x = 3,220.04

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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.