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Finding the Fourth Proportional to 10,077.64, 13,906.92 and 5,601.25

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Solution

The fourth proportional to 10,077.64, 13,906.92 and 5,601.25 is: 7,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.64 : 13,906.92 = 5,601.25 : x
  2. Step 2: Convert to fraction form
    10,077.64/13,906.92 = 5,601.25/x
  3. Step 3: Cross multiply
    10,077.64x = 13,906.92 × 5,601.25
  4. Step 4: Simplify right side
    10,077.64x = 77,896,135.65
  5. Step 5: Solve for x
    x = 77,896,135.65/10,077.64
  6. Step 6: Final answer
    x = 7,729.60

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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.