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Finding the Fourth Proportional to 7,726.64, 10,662.75 and 4,189.83

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Solution

The fourth proportional to 7,726.64, 10,662.75 and 4,189.83 is: 5,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.64 : 10,662.75 = 4,189.83 : x
  2. Step 2: Convert to fraction form
    7,726.64/10,662.75 = 4,189.83/x
  3. Step 3: Cross multiply
    7,726.64x = 10,662.75 × 4,189.83
  4. Step 4: Simplify right side
    7,726.64x = 44,675,109.83
  5. Step 5: Solve for x
    x = 44,675,109.83/7,726.64
  6. Step 6: Final answer
    x = 5,781.96

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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.