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Finding the Fourth Proportional to 8,382.30, 12,564.69 and 2,833.74

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Solution

The fourth proportional to 8,382.30, 12,564.69 and 2,833.74 is: 4,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.30 : 12,564.69 = 2,833.74 : x
  2. Step 2: Convert to fraction form
    8,382.30/12,564.69 = 2,833.74/x
  3. Step 3: Cross multiply
    8,382.30x = 12,564.69 × 2,833.74
  4. Step 4: Simplify right side
    8,382.30x = 35,605,064.64
  5. Step 5: Solve for x
    x = 35,605,064.64/8,382.30
  6. Step 6: Final answer
    x = 4,247.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.