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Finding the Fourth Proportional to 7,726.36, 11,579.82 and 5,092.24

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Solution

The fourth proportional to 7,726.36, 11,579.82 and 5,092.24 is: 7,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.36 : 11,579.82 = 5,092.24 : x
  2. Step 2: Convert to fraction form
    7,726.36/11,579.82 = 5,092.24/x
  3. Step 3: Cross multiply
    7,726.36x = 11,579.82 × 5,092.24
  4. Step 4: Simplify right side
    7,726.36x = 58,967,222.60
  5. Step 5: Solve for x
    x = 58,967,222.60/7,726.36
  6. Step 6: Final answer
    x = 7,631.95

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