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Finding the Fourth Proportional to 8,382.44, 11,569.19 and 4,847.80

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Solution

The fourth proportional to 8,382.44, 11,569.19 and 4,847.80 is: 6,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.44 : 11,569.19 = 4,847.80 : x
  2. Step 2: Convert to fraction form
    8,382.44/11,569.19 = 4,847.80/x
  3. Step 3: Cross multiply
    8,382.44x = 11,569.19 × 4,847.80
  4. Step 4: Simplify right side
    8,382.44x = 56,085,119.28
  5. Step 5: Solve for x
    x = 56,085,119.28/8,382.44
  6. Step 6: Final answer
    x = 6,690.79

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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.