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Finding the Fourth Proportional to 8,151.25, 12,223.74 and 2,885.28

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Solution

The fourth proportional to 8,151.25, 12,223.74 and 2,885.28 is: 4,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.25 : 12,223.74 = 2,885.28 : x
  2. Step 2: Convert to fraction form
    8,151.25/12,223.74 = 2,885.28/x
  3. Step 3: Cross multiply
    8,151.25x = 12,223.74 × 2,885.28
  4. Step 4: Simplify right side
    8,151.25x = 35,268,939.13
  5. Step 5: Solve for x
    x = 35,268,939.13/8,151.25
  6. Step 6: Final answer
    x = 4,326.82

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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.