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Finding the Fourth Proportional to 11,744.61, 16,205.58 and 7,764.27

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Solution

The fourth proportional to 11,744.61, 16,205.58 and 7,764.27 is: 10,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.61 : 16,205.58 = 7,764.27 : x
  2. Step 2: Convert to fraction form
    11,744.61/16,205.58 = 7,764.27/x
  3. Step 3: Cross multiply
    11,744.61x = 16,205.58 × 7,764.27
  4. Step 4: Simplify right side
    11,744.61x = 125,824,498.63
  5. Step 5: Solve for x
    x = 125,824,498.63/11,744.61
  6. Step 6: Final answer
    x = 10,713.38

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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.