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Finding the Fourth Proportional to 10,847.75, 14,969.91 and 5,879.75

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Solution

The fourth proportional to 10,847.75, 14,969.91 and 5,879.75 is: 8,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.75 : 14,969.91 = 5,879.75 : x
  2. Step 2: Convert to fraction form
    10,847.75/14,969.91 = 5,879.75/x
  3. Step 3: Cross multiply
    10,847.75x = 14,969.91 × 5,879.75
  4. Step 4: Simplify right side
    10,847.75x = 88,019,328.32
  5. Step 5: Solve for x
    x = 88,019,328.32/10,847.75
  6. Step 6: Final answer
    x = 8,114.06

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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.