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Finding the Fourth Proportional to 10,137.96, 15,194.39 and 5,742.09

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Solution

The fourth proportional to 10,137.96, 15,194.39 and 5,742.09 is: 8,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.96 : 15,194.39 = 5,742.09 : x
  2. Step 2: Convert to fraction form
    10,137.96/15,194.39 = 5,742.09/x
  3. Step 3: Cross multiply
    10,137.96x = 15,194.39 × 5,742.09
  4. Step 4: Simplify right side
    10,137.96x = 87,247,526.16
  5. Step 5: Solve for x
    x = 87,247,526.16/10,137.96
  6. Step 6: Final answer
    x = 8,606.02

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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.