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Finding the Fourth Proportional to 10,188.96, 15,258.81 and 5,793.09

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Solution

The fourth proportional to 10,188.96, 15,258.81 and 5,793.09 is: 8,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.96 : 15,258.81 = 5,793.09 : x
  2. Step 2: Convert to fraction form
    10,188.96/15,258.81 = 5,793.09/x
  3. Step 3: Cross multiply
    10,188.96x = 15,258.81 × 5,793.09
  4. Step 4: Simplify right side
    10,188.96x = 88,395,659.62
  5. Step 5: Solve for x
    x = 88,395,659.62/10,188.96
  6. Step 6: Final answer
    x = 8,675.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.