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Finding the Fourth Proportional to 7,649.87, 11,474.67 and 2,103.20

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Solution

The fourth proportional to 7,649.87, 11,474.67 and 2,103.20 is: 3,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.87 : 11,474.67 = 2,103.20 : x
  2. Step 2: Convert to fraction form
    7,649.87/11,474.67 = 2,103.20/x
  3. Step 3: Cross multiply
    7,649.87x = 11,474.67 × 2,103.20
  4. Step 4: Simplify right side
    7,649.87x = 24,133,468.57
  5. Step 5: Solve for x
    x = 24,133,468.57/7,649.87
  6. Step 6: Final answer
    x = 3,154.75

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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.