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Finding the Fourth Proportional to 8,382.81, 11,568.28 and 4,606.22

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Solution

The fourth proportional to 8,382.81, 11,568.28 and 4,606.22 is: 6,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.81 : 11,568.28 = 4,606.22 : x
  2. Step 2: Convert to fraction form
    8,382.81/11,568.28 = 4,606.22/x
  3. Step 3: Cross multiply
    8,382.81x = 11,568.28 × 4,606.22
  4. Step 4: Simplify right side
    8,382.81x = 53,285,984.86
  5. Step 5: Solve for x
    x = 53,285,984.86/8,382.81
  6. Step 6: Final answer
    x = 6,356.58

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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.