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Finding the Fourth Proportional to 7,271.01, 10,906.92 and 2,076.75

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Solution

The fourth proportional to 7,271.01, 10,906.92 and 2,076.75 is: 3,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.01 : 10,906.92 = 2,076.75 : x
  2. Step 2: Convert to fraction form
    7,271.01/10,906.92 = 2,076.75/x
  3. Step 3: Cross multiply
    7,271.01x = 10,906.92 × 2,076.75
  4. Step 4: Simplify right side
    7,271.01x = 22,650,946.11
  5. Step 5: Solve for x
    x = 22,650,946.11/7,271.01
  6. Step 6: Final answer
    x = 3,115.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.