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Finding the Fourth Proportional to 8,411, 12,616.26 and 2,566.76

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Solution

The fourth proportional to 8,411, 12,616.26 and 2,566.76 is: 3,850.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411 : 12,616.26 = 2,566.76 : x
  2. Step 2: Convert to fraction form
    8,411/12,616.26 = 2,566.76/x
  3. Step 3: Cross multiply
    8,411x = 12,616.26 × 2,566.76
  4. Step 4: Simplify right side
    8,411x = 32,382,911.52
  5. Step 5: Solve for x
    x = 32,382,911.52/8,411
  6. Step 6: Final answer
    x = 3,850.07

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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.