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Finding the Fourth Proportional to 10,422.96, 15,636.22 and 3,849.18

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Solution

The fourth proportional to 10,422.96, 15,636.22 and 3,849.18 is: 5,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.96 : 15,636.22 = 3,849.18 : x
  2. Step 2: Convert to fraction form
    10,422.96/15,636.22 = 3,849.18/x
  3. Step 3: Cross multiply
    10,422.96x = 15,636.22 × 3,849.18
  4. Step 4: Simplify right side
    10,422.96x = 60,186,606.05
  5. Step 5: Solve for x
    x = 60,186,606.05/10,422.96
  6. Step 6: Final answer
    x = 5,774.43

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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.