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Finding the Fourth Proportional to 6,416.82, 8,853.30 and 5,711.31

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Solution

The fourth proportional to 6,416.82, 8,853.30 and 5,711.31 is: 7,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.82 : 8,853.30 = 5,711.31 : x
  2. Step 2: Convert to fraction form
    6,416.82/8,853.30 = 5,711.31/x
  3. Step 3: Cross multiply
    6,416.82x = 8,853.30 × 5,711.31
  4. Step 4: Simplify right side
    6,416.82x = 50,563,940.82
  5. Step 5: Solve for x
    x = 50,563,940.82/6,416.82
  6. Step 6: Final answer
    x = 7,879.91

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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.