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Finding the Fourth Proportional to 11,738.84, 16,199.55 and 7,024.23

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Solution

The fourth proportional to 11,738.84, 16,199.55 and 7,024.23 is: 9,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.84 : 16,199.55 = 7,024.23 : x
  2. Step 2: Convert to fraction form
    11,738.84/16,199.55 = 7,024.23/x
  3. Step 3: Cross multiply
    11,738.84x = 16,199.55 × 7,024.23
  4. Step 4: Simplify right side
    11,738.84x = 113,789,365.10
  5. Step 5: Solve for x
    x = 113,789,365.10/11,738.84
  6. Step 6: Final answer
    x = 9,693.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.