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Finding the Fourth Proportional to 8,441.64, 11,649.78 and 4,716.36

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Solution

The fourth proportional to 8,441.64, 11,649.78 and 4,716.36 is: 6,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.64 : 11,649.78 = 4,716.36 : x
  2. Step 2: Convert to fraction form
    8,441.64/11,649.78 = 4,716.36/x
  3. Step 3: Cross multiply
    8,441.64x = 11,649.78 × 4,716.36
  4. Step 4: Simplify right side
    8,441.64x = 54,944,556.40
  5. Step 5: Solve for x
    x = 54,944,556.40/8,441.64
  6. Step 6: Final answer
    x = 6,508.75

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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.