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Finding the Fourth Proportional to 7,726.17, 10,662.02 and 4,189.37

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Solution

The fourth proportional to 7,726.17, 10,662.02 and 4,189.37 is: 5,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.17 : 10,662.02 = 4,189.37 : x
  2. Step 2: Convert to fraction form
    7,726.17/10,662.02 = 4,189.37/x
  3. Step 3: Cross multiply
    7,726.17x = 10,662.02 × 4,189.37
  4. Step 4: Simplify right side
    7,726.17x = 44,667,168.15
  5. Step 5: Solve for x
    x = 44,667,168.15/7,726.17
  6. Step 6: Final answer
    x = 5,781.28

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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.