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Finding the Fourth Proportional to 12,718, 17,550.84 and 7,129.04

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Solution

The fourth proportional to 12,718, 17,550.84 and 7,129.04 is: 9,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718 : 17,550.84 = 7,129.04 : x
  2. Step 2: Convert to fraction form
    12,718/17,550.84 = 7,129.04/x
  3. Step 3: Cross multiply
    12,718x = 17,550.84 × 7,129.04
  4. Step 4: Simplify right side
    12,718x = 125,120,640.39
  5. Step 5: Solve for x
    x = 125,120,640.39/12,718
  6. Step 6: Final answer
    x = 9,838.08

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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.