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Finding the Fourth Proportional to 10,170.96, 15,256.20 and 2,775.84

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Solution

The fourth proportional to 10,170.96, 15,256.20 and 2,775.84 is: 4,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.96 : 15,256.20 = 2,775.84 : x
  2. Step 2: Convert to fraction form
    10,170.96/15,256.20 = 2,775.84/x
  3. Step 3: Cross multiply
    10,170.96x = 15,256.20 × 2,775.84
  4. Step 4: Simplify right side
    10,170.96x = 42,348,770.21
  5. Step 5: Solve for x
    x = 42,348,770.21/10,170.96
  6. Step 6: Final answer
    x = 4,163.69

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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.