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Finding the Fourth Proportional to 11,744.06, 17,616.22 and 2,978.98

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Solution

The fourth proportional to 11,744.06, 17,616.22 and 2,978.98 is: 4,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.06 : 17,616.22 = 2,978.98 : x
  2. Step 2: Convert to fraction form
    11,744.06/17,616.22 = 2,978.98/x
  3. Step 3: Cross multiply
    11,744.06x = 17,616.22 × 2,978.98
  4. Step 4: Simplify right side
    11,744.06x = 52,478,367.06
  5. Step 5: Solve for x
    x = 52,478,367.06/11,744.06
  6. Step 6: Final answer
    x = 4,468.50

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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.