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Finding the Fourth Proportional to 8,493.44, 11,720.64 and 4,767.36

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Solution

The fourth proportional to 8,493.44, 11,720.64 and 4,767.36 is: 6,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.44 : 11,720.64 = 4,767.36 : x
  2. Step 2: Convert to fraction form
    8,493.44/11,720.64 = 4,767.36/x
  3. Step 3: Cross multiply
    8,493.44x = 11,720.64 × 4,767.36
  4. Step 4: Simplify right side
    8,493.44x = 55,876,510.31
  5. Step 5: Solve for x
    x = 55,876,510.31/8,493.44
  6. Step 6: Final answer
    x = 6,578.78

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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.