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Finding the Fourth Proportional to 12,292.26, 16,960.78 and 7,814.38

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Solution

The fourth proportional to 12,292.26, 16,960.78 and 7,814.38 is: 10,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.26 : 16,960.78 = 7,814.38 : x
  2. Step 2: Convert to fraction form
    12,292.26/16,960.78 = 7,814.38/x
  3. Step 3: Cross multiply
    12,292.26x = 16,960.78 × 7,814.38
  4. Step 4: Simplify right side
    12,292.26x = 132,537,980.02
  5. Step 5: Solve for x
    x = 132,537,980.02/12,292.26
  6. Step 6: Final answer
    x = 10,782.23

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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.