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Finding the Fourth Proportional to 10,076.93, 13,906.09 and 5,600.81

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Solution

The fourth proportional to 10,076.93, 13,906.09 and 5,600.81 is: 7,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.93 : 13,906.09 = 5,600.81 : x
  2. Step 2: Convert to fraction form
    10,076.93/13,906.09 = 5,600.81/x
  3. Step 3: Cross multiply
    10,076.93x = 13,906.09 × 5,600.81
  4. Step 4: Simplify right side
    10,076.93x = 77,885,367.93
  5. Step 5: Solve for x
    x = 77,885,367.93/10,076.93
  6. Step 6: Final answer
    x = 7,729.08

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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.