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Finding the Fourth Proportional to 8,523.22, 12,774.06 and 3,838.24

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Solution

The fourth proportional to 8,523.22, 12,774.06 and 3,838.24 is: 5,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.22 : 12,774.06 = 3,838.24 : x
  2. Step 2: Convert to fraction form
    8,523.22/12,774.06 = 3,838.24/x
  3. Step 3: Cross multiply
    8,523.22x = 12,774.06 × 3,838.24
  4. Step 4: Simplify right side
    8,523.22x = 49,029,908.05
  5. Step 5: Solve for x
    x = 49,029,908.05/8,523.22
  6. Step 6: Final answer
    x = 5,752.51

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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.