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Finding the Fourth Proportional to 10,093.30, 15,142.23 and 3,073.94

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Solution

The fourth proportional to 10,093.30, 15,142.23 and 3,073.94 is: 4,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.30 : 15,142.23 = 3,073.94 : x
  2. Step 2: Convert to fraction form
    10,093.30/15,142.23 = 3,073.94/x
  3. Step 3: Cross multiply
    10,093.30x = 15,142.23 × 3,073.94
  4. Step 4: Simplify right side
    10,093.30x = 46,546,344.34
  5. Step 5: Solve for x
    x = 46,546,344.34/10,093.30
  6. Step 6: Final answer
    x = 4,611.61

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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.