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Finding the Fourth Proportional to 11,697.76, 17,546.16 and 2,932.48

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Solution

The fourth proportional to 11,697.76, 17,546.16 and 2,932.48 is: 4,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.76 : 17,546.16 = 2,932.48 : x
  2. Step 2: Convert to fraction form
    11,697.76/17,546.16 = 2,932.48/x
  3. Step 3: Cross multiply
    11,697.76x = 17,546.16 × 2,932.48
  4. Step 4: Simplify right side
    11,697.76x = 51,453,763.28
  5. Step 5: Solve for x
    x = 51,453,763.28/11,697.76
  6. Step 6: Final answer
    x = 4,398.60

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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.