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Finding the Fourth Proportional to 10,425.78, 15,636.51 and 3,847.47

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Solution

The fourth proportional to 10,425.78, 15,636.51 and 3,847.47 is: 5,770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.78 : 15,636.51 = 3,847.47 : x
  2. Step 2: Convert to fraction form
    10,425.78/15,636.51 = 3,847.47/x
  3. Step 3: Cross multiply
    10,425.78x = 15,636.51 × 3,847.47
  4. Step 4: Simplify right side
    10,425.78x = 60,161,003.13
  5. Step 5: Solve for x
    x = 60,161,003.13/10,425.78
  6. Step 6: Final answer
    x = 5,770.41

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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.