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Finding the Fourth Proportional to 11,843.32, 17,748.02 and 8,698.64

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Solution

The fourth proportional to 11,843.32, 17,748.02 and 8,698.64 is: 13,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.32 : 17,748.02 = 8,698.64 : x
  2. Step 2: Convert to fraction form
    11,843.32/17,748.02 = 8,698.64/x
  3. Step 3: Cross multiply
    11,843.32x = 17,748.02 × 8,698.64
  4. Step 4: Simplify right side
    11,843.32x = 154,383,636.69
  5. Step 5: Solve for x
    x = 154,383,636.69/11,843.32
  6. Step 6: Final answer
    x = 13,035.50

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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.