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Finding the Fourth Proportional to 8,382.83, 11,568.49 and 4,606.20

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Solution

The fourth proportional to 8,382.83, 11,568.49 and 4,606.20 is: 6,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.83 : 11,568.49 = 4,606.20 : x
  2. Step 2: Convert to fraction form
    8,382.83/11,568.49 = 4,606.20/x
  3. Step 3: Cross multiply
    8,382.83x = 11,568.49 × 4,606.20
  4. Step 4: Simplify right side
    8,382.83x = 53,286,767.12
  5. Step 5: Solve for x
    x = 53,286,767.12/8,382.83
  6. Step 6: Final answer
    x = 6,356.66

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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.