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Finding the Fourth Proportional to 7,724.33, 11,591.20 and 7,096.98

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Solution

The fourth proportional to 7,724.33, 11,591.20 and 7,096.98 is: 10,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.33 : 11,591.20 = 7,096.98 : x
  2. Step 2: Convert to fraction form
    7,724.33/11,591.20 = 7,096.98/x
  3. Step 3: Cross multiply
    7,724.33x = 11,591.20 × 7,096.98
  4. Step 4: Simplify right side
    7,724.33x = 82,262,514.58
  5. Step 5: Solve for x
    x = 82,262,514.58/7,724.33
  6. Step 6: Final answer
    x = 10,649.80

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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.