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Finding the Fourth Proportional to 10,084.31, 13,910.57 and 8,373.14

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Solution

The fourth proportional to 10,084.31, 13,910.57 and 8,373.14 is: 11,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.31 : 13,910.57 = 8,373.14 : x
  2. Step 2: Convert to fraction form
    10,084.31/13,910.57 = 8,373.14/x
  3. Step 3: Cross multiply
    10,084.31x = 13,910.57 × 8,373.14
  4. Step 4: Simplify right side
    10,084.31x = 116,475,150.09
  5. Step 5: Solve for x
    x = 116,475,150.09/10,084.31
  6. Step 6: Final answer
    x = 11,550.14

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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.