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Finding the Fourth Proportional to 11,797.05, 17,698.64 and 4,401.56

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Solution

The fourth proportional to 11,797.05, 17,698.64 and 4,401.56 is: 6,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.05 : 17,698.64 = 4,401.56 : x
  2. Step 2: Convert to fraction form
    11,797.05/17,698.64 = 4,401.56/x
  3. Step 3: Cross multiply
    11,797.05x = 17,698.64 × 4,401.56
  4. Step 4: Simplify right side
    11,797.05x = 77,901,648.12
  5. Step 5: Solve for x
    x = 77,901,648.12/11,797.05
  6. Step 6: Final answer
    x = 6,603.49

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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.