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Finding the Fourth Proportional to 7,726.84, 11,590.29 and 2,180.22

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Solution

The fourth proportional to 7,726.84, 11,590.29 and 2,180.22 is: 3,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.84 : 11,590.29 = 2,180.22 : x
  2. Step 2: Convert to fraction form
    7,726.84/11,590.29 = 2,180.22/x
  3. Step 3: Cross multiply
    7,726.84x = 11,590.29 × 2,180.22
  4. Step 4: Simplify right side
    7,726.84x = 25,269,338.60
  5. Step 5: Solve for x
    x = 25,269,338.60/7,726.84
  6. Step 6: Final answer
    x = 3,270.33

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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.