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Finding the Fourth Proportional to 7,266.74, 10,027.86 and 4,079.94

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Solution

The fourth proportional to 7,266.74, 10,027.86 and 4,079.94 is: 5,630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.74 : 10,027.86 = 4,079.94 : x
  2. Step 2: Convert to fraction form
    7,266.74/10,027.86 = 4,079.94/x
  3. Step 3: Cross multiply
    7,266.74x = 10,027.86 × 4,079.94
  4. Step 4: Simplify right side
    7,266.74x = 40,913,067.13
  5. Step 5: Solve for x
    x = 40,913,067.13/7,266.74
  6. Step 6: Final answer
    x = 5,630.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.