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Finding the Fourth Proportional to 7,796.40, 11,698.22 and 4,512.24

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Solution

The fourth proportional to 7,796.40, 11,698.22 and 4,512.24 is: 6,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.40 : 11,698.22 = 4,512.24 : x
  2. Step 2: Convert to fraction form
    7,796.40/11,698.22 = 4,512.24/x
  3. Step 3: Cross multiply
    7,796.40x = 11,698.22 × 4,512.24
  4. Step 4: Simplify right side
    7,796.40x = 52,785,176.21
  5. Step 5: Solve for x
    x = 52,785,176.21/7,796.40
  6. Step 6: Final answer
    x = 6,770.46

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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.