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Finding the Fourth Proportional to 10,076.54, 13,906.75 and 6,097.57

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Solution

The fourth proportional to 10,076.54, 13,906.75 and 6,097.57 is: 8,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.54 : 13,906.75 = 6,097.57 : x
  2. Step 2: Convert to fraction form
    10,076.54/13,906.75 = 6,097.57/x
  3. Step 3: Cross multiply
    10,076.54x = 13,906.75 × 6,097.57
  4. Step 4: Simplify right side
    10,076.54x = 84,797,381.60
  5. Step 5: Solve for x
    x = 84,797,381.60/10,076.54
  6. Step 6: Final answer
    x = 8,415.33

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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.