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Finding the Fourth Proportional to 8,454.83, 12,684.95 and 4,072.73

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Solution

The fourth proportional to 8,454.83, 12,684.95 and 4,072.73 is: 6,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.83 : 12,684.95 = 4,072.73 : x
  2. Step 2: Convert to fraction form
    8,454.83/12,684.95 = 4,072.73/x
  3. Step 3: Cross multiply
    8,454.83x = 12,684.95 × 4,072.73
  4. Step 4: Simplify right side
    8,454.83x = 51,662,356.05
  5. Step 5: Solve for x
    x = 51,662,356.05/8,454.83
  6. Step 6: Final answer
    x = 6,110.40

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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.