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Finding the Fourth Proportional to 7,261.63, 10,892.20 and 2,067.50

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Solution

The fourth proportional to 7,261.63, 10,892.20 and 2,067.50 is: 3,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.63 : 10,892.20 = 2,067.50 : x
  2. Step 2: Convert to fraction form
    7,261.63/10,892.20 = 2,067.50/x
  3. Step 3: Cross multiply
    7,261.63x = 10,892.20 × 2,067.50
  4. Step 4: Simplify right side
    7,261.63x = 22,519,613.16
  5. Step 5: Solve for x
    x = 22,519,613.16/7,261.63
  6. Step 6: Final answer
    x = 3,101.18

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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.