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Finding the Fourth Proportional to 10,077.22, 13,906.90 and 5,601.16

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Solution

The fourth proportional to 10,077.22, 13,906.90 and 5,601.16 is: 7,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.22 : 13,906.90 = 5,601.16 : x
  2. Step 2: Convert to fraction form
    10,077.22/13,906.90 = 5,601.16/x
  3. Step 3: Cross multiply
    10,077.22x = 13,906.90 × 5,601.16
  4. Step 4: Simplify right side
    10,077.22x = 77,894,772.00
  5. Step 5: Solve for x
    x = 77,894,772.00/10,077.22
  6. Step 6: Final answer
    x = 7,729.79

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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.