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Finding the Fourth Proportional to 10,093.97, 13,930.43 and 5,846.18

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Solution

The fourth proportional to 10,093.97, 13,930.43 and 5,846.18 is: 8,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.97 : 13,930.43 = 5,846.18 : x
  2. Step 2: Convert to fraction form
    10,093.97/13,930.43 = 5,846.18/x
  3. Step 3: Cross multiply
    10,093.97x = 13,930.43 × 5,846.18
  4. Step 4: Simplify right side
    10,093.97x = 81,439,735.26
  5. Step 5: Solve for x
    x = 81,439,735.26/10,093.97
  6. Step 6: Final answer
    x = 8,068.16

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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.