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Finding the Fourth Proportional to 10,162.96, 15,241.69 and 2,765.66

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Solution

The fourth proportional to 10,162.96, 15,241.69 and 2,765.66 is: 4,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.96 : 15,241.69 = 2,765.66 : x
  2. Step 2: Convert to fraction form
    10,162.96/15,241.69 = 2,765.66/x
  3. Step 3: Cross multiply
    10,162.96x = 15,241.69 × 2,765.66
  4. Step 4: Simplify right side
    10,162.96x = 42,153,288.83
  5. Step 5: Solve for x
    x = 42,153,288.83/10,162.96
  6. Step 6: Final answer
    x = 4,147.74

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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.