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Finding the Fourth Proportional to 11,132, 16,694.58 and 7,332.48

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Solution

The fourth proportional to 11,132, 16,694.58 and 7,332.48 is: 10,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132 : 16,694.58 = 7,332.48 : x
  2. Step 2: Convert to fraction form
    11,132/16,694.58 = 7,332.48/x
  3. Step 3: Cross multiply
    11,132x = 16,694.58 × 7,332.48
  4. Step 4: Simplify right side
    11,132x = 122,412,673.96
  5. Step 5: Solve for x
    x = 122,412,673.96/11,132
  6. Step 6: Final answer
    x = 10,996.47

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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.