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Finding the Fourth Proportional to 7,147.26, 10,721.07 and 1,953.18

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Solution

The fourth proportional to 7,147.26, 10,721.07 and 1,953.18 is: 2,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.26 : 10,721.07 = 1,953.18 : x
  2. Step 2: Convert to fraction form
    7,147.26/10,721.07 = 1,953.18/x
  3. Step 3: Cross multiply
    7,147.26x = 10,721.07 × 1,953.18
  4. Step 4: Simplify right side
    7,147.26x = 20,940,179.50
  5. Step 5: Solve for x
    x = 20,940,179.50/7,147.26
  6. Step 6: Final answer
    x = 2,929.82

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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.