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Finding the Fourth Proportional to 12,794.74, 17,661.16 and 7,491.26

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Solution

The fourth proportional to 12,794.74, 17,661.16 and 7,491.26 is: 10,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.74 : 17,661.16 = 7,491.26 : x
  2. Step 2: Convert to fraction form
    12,794.74/17,661.16 = 7,491.26/x
  3. Step 3: Cross multiply
    12,794.74x = 17,661.16 × 7,491.26
  4. Step 4: Simplify right side
    12,794.74x = 132,304,341.46
  5. Step 5: Solve for x
    x = 132,304,341.46/12,794.74
  6. Step 6: Final answer
    x = 10,340.53

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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.