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Finding the Fourth Proportional to 10,093.31, 15,143.06 and 5,166.44

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Solution

The fourth proportional to 10,093.31, 15,143.06 and 5,166.44 is: 7,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.31 : 15,143.06 = 5,166.44 : x
  2. Step 2: Convert to fraction form
    10,093.31/15,143.06 = 5,166.44/x
  3. Step 3: Cross multiply
    10,093.31x = 15,143.06 × 5,166.44
  4. Step 4: Simplify right side
    10,093.31x = 78,235,722.93
  5. Step 5: Solve for x
    x = 78,235,722.93/10,093.31
  6. Step 6: Final answer
    x = 7,751.24

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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.