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Finding the Fourth Proportional to 8,244.14, 12,371.22 and 4,738.55

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Solution

The fourth proportional to 8,244.14, 12,371.22 and 4,738.55 is: 7,110.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.14 : 12,371.22 = 4,738.55 : x
  2. Step 2: Convert to fraction form
    8,244.14/12,371.22 = 4,738.55/x
  3. Step 3: Cross multiply
    8,244.14x = 12,371.22 × 4,738.55
  4. Step 4: Simplify right side
    8,244.14x = 58,621,582.67
  5. Step 5: Solve for x
    x = 58,621,582.67/8,244.14
  6. Step 6: Final answer
    x = 7,110.70

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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.