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Finding the Fourth Proportional to 7,796.25, 11,686.21 and 3,632.83

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Solution

The fourth proportional to 7,796.25, 11,686.21 and 3,632.83 is: 5,445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.25 : 11,686.21 = 3,632.83 : x
  2. Step 2: Convert to fraction form
    7,796.25/11,686.21 = 3,632.83/x
  3. Step 3: Cross multiply
    7,796.25x = 11,686.21 × 3,632.83
  4. Step 4: Simplify right side
    7,796.25x = 42,453,937.68
  5. Step 5: Solve for x
    x = 42,453,937.68/7,796.25
  6. Step 6: Final answer
    x = 5,445.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.