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Finding the Fourth Proportional to 10,294.25, 14,201.31 and 6,043.95

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Solution

The fourth proportional to 10,294.25, 14,201.31 and 6,043.95 is: 8,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.25 : 14,201.31 = 6,043.95 : x
  2. Step 2: Convert to fraction form
    10,294.25/14,201.31 = 6,043.95/x
  3. Step 3: Cross multiply
    10,294.25x = 14,201.31 × 6,043.95
  4. Step 4: Simplify right side
    10,294.25x = 85,831,906.35
  5. Step 5: Solve for x
    x = 85,831,906.35/10,294.25
  6. Step 6: Final answer
    x = 8,337.85

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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.