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Finding the Fourth Proportional to 10,093.23, 13,930.88 and 5,847.21

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Solution

The fourth proportional to 10,093.23, 13,930.88 and 5,847.21 is: 8,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.23 : 13,930.88 = 5,847.21 : x
  2. Step 2: Convert to fraction form
    10,093.23/13,930.88 = 5,847.21/x
  3. Step 3: Cross multiply
    10,093.23x = 13,930.88 × 5,847.21
  4. Step 4: Simplify right side
    10,093.23x = 81,456,751.61
  5. Step 5: Solve for x
    x = 81,456,751.61/10,093.23
  6. Step 6: Final answer
    x = 8,070.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.