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Finding the Fourth Proportional to 11,752.97, 17,636.33 and 4,362.63

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Solution

The fourth proportional to 11,752.97, 17,636.33 and 4,362.63 is: 6,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.97 : 17,636.33 = 4,362.63 : x
  2. Step 2: Convert to fraction form
    11,752.97/17,636.33 = 4,362.63/x
  3. Step 3: Cross multiply
    11,752.97x = 17,636.33 × 4,362.63
  4. Step 4: Simplify right side
    11,752.97x = 76,940,727.12
  5. Step 5: Solve for x
    x = 76,940,727.12/11,752.97
  6. Step 6: Final answer
    x = 6,546.50

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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.