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Finding the Fourth Proportional to 6,416.52, 8,854.73 and 3,763.43

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Solution

The fourth proportional to 6,416.52, 8,854.73 and 3,763.43 is: 5,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.52 : 8,854.73 = 3,763.43 : x
  2. Step 2: Convert to fraction form
    6,416.52/8,854.73 = 3,763.43/x
  3. Step 3: Cross multiply
    6,416.52x = 8,854.73 × 3,763.43
  4. Step 4: Simplify right side
    6,416.52x = 33,324,112.25
  5. Step 5: Solve for x
    x = 33,324,112.25/6,416.52
  6. Step 6: Final answer
    x = 5,193.49

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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.