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Finding the Fourth Proportional to 7,726.87, 10,662.96 and 4,190.05

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Solution

The fourth proportional to 7,726.87, 10,662.96 and 4,190.05 is: 5,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.87 : 10,662.96 = 4,190.05 : x
  2. Step 2: Convert to fraction form
    7,726.87/10,662.96 = 4,190.05/x
  3. Step 3: Cross multiply
    7,726.87x = 10,662.96 × 4,190.05
  4. Step 4: Simplify right side
    7,726.87x = 44,678,335.55
  5. Step 5: Solve for x
    x = 44,678,335.55/7,726.87
  6. Step 6: Final answer
    x = 5,782.20

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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.