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Finding the Fourth Proportional to 7,726.31, 10,662.31 and 4,189.52

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Solution

The fourth proportional to 7,726.31, 10,662.31 and 4,189.52 is: 5,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.31 : 10,662.31 = 4,189.52 : x
  2. Step 2: Convert to fraction form
    7,726.31/10,662.31 = 4,189.52/x
  3. Step 3: Cross multiply
    7,726.31x = 10,662.31 × 4,189.52
  4. Step 4: Simplify right side
    7,726.31x = 44,669,910.53
  5. Step 5: Solve for x
    x = 44,669,910.53/7,726.31
  6. Step 6: Final answer
    x = 5,781.54

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