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Finding the Fourth Proportional to 11,744.77, 16,207.92 and 6,709.66

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Solution

The fourth proportional to 11,744.77, 16,207.92 and 6,709.66 is: 9,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.77 : 16,207.92 = 6,709.66 : x
  2. Step 2: Convert to fraction form
    11,744.77/16,207.92 = 6,709.66/x
  3. Step 3: Cross multiply
    11,744.77x = 16,207.92 × 6,709.66
  4. Step 4: Simplify right side
    11,744.77x = 108,749,632.51
  5. Step 5: Solve for x
    x = 108,749,632.51/11,744.77
  6. Step 6: Final answer
    x = 9,259.41

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