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Finding the Fourth Proportional to 10,280.97, 14,188.49 and 5,805.11

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Solution

The fourth proportional to 10,280.97, 14,188.49 and 5,805.11 is: 8,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.97 : 14,188.49 = 5,805.11 : x
  2. Step 2: Convert to fraction form
    10,280.97/14,188.49 = 5,805.11/x
  3. Step 3: Cross multiply
    10,280.97x = 14,188.49 × 5,805.11
  4. Step 4: Simplify right side
    10,280.97x = 82,365,745.18
  5. Step 5: Solve for x
    x = 82,365,745.18/10,280.97
  6. Step 6: Final answer
    x = 8,011.48

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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.