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Finding the Fourth Proportional to 8,496.81, 11,727.83 and 4,772.01

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Solution

The fourth proportional to 8,496.81, 11,727.83 and 4,772.01 is: 6,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.81 : 11,727.83 = 4,772.01 : x
  2. Step 2: Convert to fraction form
    8,496.81/11,727.83 = 4,772.01/x
  3. Step 3: Cross multiply
    8,496.81x = 11,727.83 × 4,772.01
  4. Step 4: Simplify right side
    8,496.81x = 55,965,322.04
  5. Step 5: Solve for x
    x = 55,965,322.04/8,496.81
  6. Step 6: Final answer
    x = 6,586.63

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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.