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Finding the Fourth Proportional to 10,084.77, 13,918.22 and 6,107.26

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Solution

The fourth proportional to 10,084.77, 13,918.22 and 6,107.26 is: 8,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.77 : 13,918.22 = 6,107.26 : x
  2. Step 2: Convert to fraction form
    10,084.77/13,918.22 = 6,107.26/x
  3. Step 3: Cross multiply
    10,084.77x = 13,918.22 × 6,107.26
  4. Step 4: Simplify right side
    10,084.77x = 85,002,188.28
  5. Step 5: Solve for x
    x = 85,002,188.28/10,084.77
  6. Step 6: Final answer
    x = 8,428.77

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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.