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Finding the Fourth Proportional to 8,106.54, 12,137.88 and 4,202.74

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Solution

The fourth proportional to 8,106.54, 12,137.88 and 4,202.74 is: 6,292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.54 : 12,137.88 = 4,202.74 : x
  2. Step 2: Convert to fraction form
    8,106.54/12,137.88 = 4,202.74/x
  3. Step 3: Cross multiply
    8,106.54x = 12,137.88 × 4,202.74
  4. Step 4: Simplify right side
    8,106.54x = 51,012,353.79
  5. Step 5: Solve for x
    x = 51,012,353.79/8,106.54
  6. Step 6: Final answer
    x = 6,292.74

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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.