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Finding the Fourth Proportional to 7,270.42, 10,906.16 and 2,076.70

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Solution

The fourth proportional to 7,270.42, 10,906.16 and 2,076.70 is: 3,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.42 : 10,906.16 = 2,076.70 : x
  2. Step 2: Convert to fraction form
    7,270.42/10,906.16 = 2,076.70/x
  3. Step 3: Cross multiply
    7,270.42x = 10,906.16 × 2,076.70
  4. Step 4: Simplify right side
    7,270.42x = 22,648,822.47
  5. Step 5: Solve for x
    x = 22,648,822.47/7,270.42
  6. Step 6: Final answer
    x = 3,115.20

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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.