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Finding the Fourth Proportional to 7,243.91, 10,866.72 and 2,562.95

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Solution

The fourth proportional to 7,243.91, 10,866.72 and 2,562.95 is: 3,844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.91 : 10,866.72 = 2,562.95 : x
  2. Step 2: Convert to fraction form
    7,243.91/10,866.72 = 2,562.95/x
  3. Step 3: Cross multiply
    7,243.91x = 10,866.72 × 2,562.95
  4. Step 4: Simplify right side
    7,243.91x = 27,850,893.60
  5. Step 5: Solve for x
    x = 27,850,893.60/7,243.91
  6. Step 6: Final answer
    x = 3,844.73

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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.