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Finding the Fourth Proportional to 8,444.16, 11,651.94 and 4,906.80

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Solution

The fourth proportional to 8,444.16, 11,651.94 and 4,906.80 is: 6,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.16 : 11,651.94 = 4,906.80 : x
  2. Step 2: Convert to fraction form
    8,444.16/11,651.94 = 4,906.80/x
  3. Step 3: Cross multiply
    8,444.16x = 11,651.94 × 4,906.80
  4. Step 4: Simplify right side
    8,444.16x = 57,173,739.19
  5. Step 5: Solve for x
    x = 57,173,739.19/8,444.16
  6. Step 6: Final answer
    x = 6,770.80

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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.