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Finding the Fourth Proportional to 7,649.20, 10,544.73 and 5,407.12

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Solution

The fourth proportional to 7,649.20, 10,544.73 and 5,407.12 is: 7,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.20 : 10,544.73 = 5,407.12 : x
  2. Step 2: Convert to fraction form
    7,649.20/10,544.73 = 5,407.12/x
  3. Step 3: Cross multiply
    7,649.20x = 10,544.73 × 5,407.12
  4. Step 4: Simplify right side
    7,649.20x = 57,016,593.44
  5. Step 5: Solve for x
    x = 57,016,593.44/7,649.20
  6. Step 6: Final answer
    x = 7,453.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.