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Finding the Fourth Proportional to 8,444.64, 11,657.52 and 4,906.56

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Solution

The fourth proportional to 8,444.64, 11,657.52 and 4,906.56 is: 6,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.64 : 11,657.52 = 4,906.56 : x
  2. Step 2: Convert to fraction form
    8,444.64/11,657.52 = 4,906.56/x
  3. Step 3: Cross multiply
    8,444.64x = 11,657.52 × 4,906.56
  4. Step 4: Simplify right side
    8,444.64x = 57,198,321.33
  5. Step 5: Solve for x
    x = 57,198,321.33/8,444.64
  6. Step 6: Final answer
    x = 6,773.33

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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.