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Finding the Fourth Proportional to 8,414.93, 12,623.48 and 2,866.77

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Solution

The fourth proportional to 8,414.93, 12,623.48 and 2,866.77 is: 4,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.93 : 12,623.48 = 2,866.77 : x
  2. Step 2: Convert to fraction form
    8,414.93/12,623.48 = 2,866.77/x
  3. Step 3: Cross multiply
    8,414.93x = 12,623.48 × 2,866.77
  4. Step 4: Simplify right side
    8,414.93x = 36,188,599.43
  5. Step 5: Solve for x
    x = 36,188,599.43/8,414.93
  6. Step 6: Final answer
    x = 4,300.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.