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Finding the Fourth Proportional to 12,616.91, 17,411.38 and 7,314.85

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Solution

The fourth proportional to 12,616.91, 17,411.38 and 7,314.85 is: 10,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.91 : 17,411.38 = 7,314.85 : x
  2. Step 2: Convert to fraction form
    12,616.91/17,411.38 = 7,314.85/x
  3. Step 3: Cross multiply
    12,616.91x = 17,411.38 × 7,314.85
  4. Step 4: Simplify right side
    12,616.91x = 127,361,571.18
  5. Step 5: Solve for x
    x = 127,361,571.18/12,616.91
  6. Step 6: Final answer
    x = 10,094.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.