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Finding the Fourth Proportional to 10,694.97, 14,743.62 and 7,332.46

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Solution

The fourth proportional to 10,694.97, 14,743.62 and 7,332.46 is: 10,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.97 : 14,743.62 = 7,332.46 : x
  2. Step 2: Convert to fraction form
    10,694.97/14,743.62 = 7,332.46/x
  3. Step 3: Cross multiply
    10,694.97x = 14,743.62 × 7,332.46
  4. Step 4: Simplify right side
    10,694.97x = 108,106,967.05
  5. Step 5: Solve for x
    x = 108,106,967.05/10,694.97
  6. Step 6: Final answer
    x = 10,108.21

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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.