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Finding the Fourth Proportional to 8,313.96, 11,471.68 and 4,957.08

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Solution

The fourth proportional to 8,313.96, 11,471.68 and 4,957.08 is: 6,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.96 : 11,471.68 = 4,957.08 : x
  2. Step 2: Convert to fraction form
    8,313.96/11,471.68 = 4,957.08/x
  3. Step 3: Cross multiply
    8,313.96x = 11,471.68 × 4,957.08
  4. Step 4: Simplify right side
    8,313.96x = 56,866,035.49
  5. Step 5: Solve for x
    x = 56,866,035.49/8,313.96
  6. Step 6: Final answer
    x = 6,839.83

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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.