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Finding the Fourth Proportional to 10,074.38, 15,109.94 and 7,143.80

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Solution

The fourth proportional to 10,074.38, 15,109.94 and 7,143.80 is: 10,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.38 : 15,109.94 = 7,143.80 : x
  2. Step 2: Convert to fraction form
    10,074.38/15,109.94 = 7,143.80/x
  3. Step 3: Cross multiply
    10,074.38x = 15,109.94 × 7,143.80
  4. Step 4: Simplify right side
    10,074.38x = 107,942,331.68
  5. Step 5: Solve for x
    x = 107,942,331.68/10,074.38
  6. Step 6: Final answer
    x = 10,714.54

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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.