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Finding the Fourth Proportional to 10,076.84, 13,906.86 and 5,601.44

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Solution

The fourth proportional to 10,076.84, 13,906.86 and 5,601.44 is: 7,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.84 : 13,906.86 = 5,601.44 : x
  2. Step 2: Convert to fraction form
    10,076.84/13,906.86 = 5,601.44/x
  3. Step 3: Cross multiply
    10,076.84x = 13,906.86 × 5,601.44
  4. Step 4: Simplify right side
    10,076.84x = 77,898,441.88
  5. Step 5: Solve for x
    x = 77,898,441.88/10,076.84
  6. Step 6: Final answer
    x = 7,730.44

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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.