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Finding the Fourth Proportional to 11,994.92, 17,994.54 and 5,749.64

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Solution

The fourth proportional to 11,994.92, 17,994.54 and 5,749.64 is: 8,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994.92 : 17,994.54 = 5,749.64 : x
  2. Step 2: Convert to fraction form
    11,994.92/17,994.54 = 5,749.64/x
  3. Step 3: Cross multiply
    11,994.92x = 17,994.54 × 5,749.64
  4. Step 4: Simplify right side
    11,994.92x = 103,462,126.97
  5. Step 5: Solve for x
    x = 103,462,126.97/11,994.92
  6. Step 6: Final answer
    x = 8,625.50

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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.