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Finding the Fourth Proportional to 7,096.85, 10,649.82 and 4,759.49

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Solution

The fourth proportional to 7,096.85, 10,649.82 and 4,759.49 is: 7,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.85 : 10,649.82 = 4,759.49 : x
  2. Step 2: Convert to fraction form
    7,096.85/10,649.82 = 4,759.49/x
  3. Step 3: Cross multiply
    7,096.85x = 10,649.82 × 4,759.49
  4. Step 4: Simplify right side
    7,096.85x = 50,687,756.26
  5. Step 5: Solve for x
    x = 50,687,756.26/7,096.85
  6. Step 6: Final answer
    x = 7,142.29

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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.