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Finding the Fourth Proportional to 10,076.79, 13,906.43 and 5,600.98

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Solution

The fourth proportional to 10,076.79, 13,906.43 and 5,600.98 is: 7,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.79 : 13,906.43 = 5,600.98 : x
  2. Step 2: Convert to fraction form
    10,076.79/13,906.43 = 5,600.98/x
  3. Step 3: Cross multiply
    10,076.79x = 13,906.43 × 5,600.98
  4. Step 4: Simplify right side
    10,076.79x = 77,889,615.54
  5. Step 5: Solve for x
    x = 77,889,615.54/10,076.79
  6. Step 6: Final answer
    x = 7,729.61

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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.