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Finding the Fourth Proportional to 7,726.34, 10,662.37 and 4,189.57

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Solution

The fourth proportional to 7,726.34, 10,662.37 and 4,189.57 is: 5,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.34 : 10,662.37 = 4,189.57 : x
  2. Step 2: Convert to fraction form
    7,726.34/10,662.37 = 4,189.57/x
  3. Step 3: Cross multiply
    7,726.34x = 10,662.37 × 4,189.57
  4. Step 4: Simplify right side
    7,726.34x = 44,670,745.48
  5. Step 5: Solve for x
    x = 44,670,745.48/7,726.34
  6. Step 6: Final answer
    x = 5,781.62

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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.