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Finding the Fourth Proportional to 10,536.96, 15,806.34 and 2,745.76

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Solution

The fourth proportional to 10,536.96, 15,806.34 and 2,745.76 is: 4,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.96 : 15,806.34 = 2,745.76 : x
  2. Step 2: Convert to fraction form
    10,536.96/15,806.34 = 2,745.76/x
  3. Step 3: Cross multiply
    10,536.96x = 15,806.34 × 2,745.76
  4. Step 4: Simplify right side
    10,536.96x = 43,400,416.12
  5. Step 5: Solve for x
    x = 43,400,416.12/10,536.96
  6. Step 6: Final answer
    x = 4,118.87

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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.