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Finding the Fourth Proportional to 10,076.32, 13,906.44 and 6,097.60

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Solution

The fourth proportional to 10,076.32, 13,906.44 and 6,097.60 is: 8,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.32 : 13,906.44 = 6,097.60 : x
  2. Step 2: Convert to fraction form
    10,076.32/13,906.44 = 6,097.60/x
  3. Step 3: Cross multiply
    10,076.32x = 13,906.44 × 6,097.60
  4. Step 4: Simplify right side
    10,076.32x = 84,795,908.54
  5. Step 5: Solve for x
    x = 84,795,908.54/10,076.32
  6. Step 6: Final answer
    x = 8,415.36

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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.