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Finding the Fourth Proportional to 8,106.39, 12,154.95 and 4,821.78

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Solution

The fourth proportional to 8,106.39, 12,154.95 and 4,821.78 is: 7,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.39 : 12,154.95 = 4,821.78 : x
  2. Step 2: Convert to fraction form
    8,106.39/12,154.95 = 4,821.78/x
  3. Step 3: Cross multiply
    8,106.39x = 12,154.95 × 4,821.78
  4. Step 4: Simplify right side
    8,106.39x = 58,608,494.81
  5. Step 5: Solve for x
    x = 58,608,494.81/8,106.39
  6. Step 6: Final answer
    x = 7,229.91

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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.