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Finding the Fourth Proportional to 10,243.14, 15,365.81 and 2,847.62

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Solution

The fourth proportional to 10,243.14, 15,365.81 and 2,847.62 is: 4,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.14 : 15,365.81 = 2,847.62 : x
  2. Step 2: Convert to fraction form
    10,243.14/15,365.81 = 2,847.62/x
  3. Step 3: Cross multiply
    10,243.14x = 15,365.81 × 2,847.62
  4. Step 4: Simplify right side
    10,243.14x = 43,755,987.87
  5. Step 5: Solve for x
    x = 43,755,987.87/10,243.14
  6. Step 6: Final answer
    x = 4,271.74

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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.