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Finding the Fourth Proportional to 7,726.82, 11,591.13 and 2,798.78

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Solution

The fourth proportional to 7,726.82, 11,591.13 and 2,798.78 is: 4,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.82 : 11,591.13 = 2,798.78 : x
  2. Step 2: Convert to fraction form
    7,726.82/11,591.13 = 2,798.78/x
  3. Step 3: Cross multiply
    7,726.82x = 11,591.13 × 2,798.78
  4. Step 4: Simplify right side
    7,726.82x = 32,441,022.82
  5. Step 5: Solve for x
    x = 32,441,022.82/7,726.82
  6. Step 6: Final answer
    x = 4,198.50

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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.