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Finding the Fourth Proportional to 8,313.77, 11,474.49 and 4,956.80

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Solution

The fourth proportional to 8,313.77, 11,474.49 and 4,956.80 is: 6,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.77 : 11,474.49 = 4,956.80 : x
  2. Step 2: Convert to fraction form
    8,313.77/11,474.49 = 4,956.80/x
  3. Step 3: Cross multiply
    8,313.77x = 11,474.49 × 4,956.80
  4. Step 4: Simplify right side
    8,313.77x = 56,876,752.03
  5. Step 5: Solve for x
    x = 56,876,752.03/8,313.77
  6. Step 6: Final answer
    x = 6,841.27

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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.