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Finding the Fourth Proportional to 8,489.81, 11,716.04 and 4,713.05

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Solution

The fourth proportional to 8,489.81, 11,716.04 and 4,713.05 is: 6,504.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.81 : 11,716.04 = 4,713.05 : x
  2. Step 2: Convert to fraction form
    8,489.81/11,716.04 = 4,713.05/x
  3. Step 3: Cross multiply
    8,489.81x = 11,716.04 × 4,713.05
  4. Step 4: Simplify right side
    8,489.81x = 55,218,282.32
  5. Step 5: Solve for x
    x = 55,218,282.32/8,489.81
  6. Step 6: Final answer
    x = 6,504.07

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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.