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Finding the Fourth Proportional to 8,141, 12,210.94 and 2,594.60

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Solution

The fourth proportional to 8,141, 12,210.94 and 2,594.60 is: 3,891.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141 : 12,210.94 = 2,594.60 : x
  2. Step 2: Convert to fraction form
    8,141/12,210.94 = 2,594.60/x
  3. Step 3: Cross multiply
    8,141x = 12,210.94 × 2,594.60
  4. Step 4: Simplify right side
    8,141x = 31,682,504.92
  5. Step 5: Solve for x
    x = 31,682,504.92/8,141
  6. Step 6: Final answer
    x = 3,891.72

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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.