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Finding the Fourth Proportional to 7,649.44, 11,474.48 and 2,103.32

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Solution

The fourth proportional to 7,649.44, 11,474.48 and 2,103.32 is: 3,155.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.44 : 11,474.48 = 2,103.32 : x
  2. Step 2: Convert to fraction form
    7,649.44/11,474.48 = 2,103.32/x
  3. Step 3: Cross multiply
    7,649.44x = 11,474.48 × 2,103.32
  4. Step 4: Simplify right side
    7,649.44x = 24,134,503.27
  5. Step 5: Solve for x
    x = 24,134,503.27/7,649.44
  6. Step 6: Final answer
    x = 3,155.07

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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.