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Finding the Fourth Proportional to 7,726.23, 10,662.19 and 4,189.43

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Solution

The fourth proportional to 7,726.23, 10,662.19 and 4,189.43 is: 5,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.23 : 10,662.19 = 4,189.43 : x
  2. Step 2: Convert to fraction form
    7,726.23/10,662.19 = 4,189.43/x
  3. Step 3: Cross multiply
    7,726.23x = 10,662.19 × 4,189.43
  4. Step 4: Simplify right side
    7,726.23x = 44,668,514.83
  5. Step 5: Solve for x
    x = 44,668,514.83/7,726.23
  6. Step 6: Final answer
    x = 5,781.41

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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.