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Finding the Fourth Proportional to 10,076.68, 13,906.29 and 5,600.51

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Solution

The fourth proportional to 10,076.68, 13,906.29 and 5,600.51 is: 7,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.68 : 13,906.29 = 5,600.51 : x
  2. Step 2: Convert to fraction form
    10,076.68/13,906.29 = 5,600.51/x
  3. Step 3: Cross multiply
    10,076.68x = 13,906.29 × 5,600.51
  4. Step 4: Simplify right side
    10,076.68x = 77,882,295.44
  5. Step 5: Solve for x
    x = 77,882,295.44/10,076.68
  6. Step 6: Final answer
    x = 7,728.96

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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.