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Finding the Fourth Proportional to 11,149.86, 16,708.78 and 6,709.34

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Solution

The fourth proportional to 11,149.86, 16,708.78 and 6,709.34 is: 10,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.86 : 16,708.78 = 6,709.34 : x
  2. Step 2: Convert to fraction form
    11,149.86/16,708.78 = 6,709.34/x
  3. Step 3: Cross multiply
    11,149.86x = 16,708.78 × 6,709.34
  4. Step 4: Simplify right side
    11,149.86x = 112,104,886.01
  5. Step 5: Solve for x
    x = 112,104,886.01/11,149.86
  6. Step 6: Final answer
    x = 10,054.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.