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Finding the Fourth Proportional to 11,735.76, 16,196.93 and 6,698.85

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Solution

The fourth proportional to 11,735.76, 16,196.93 and 6,698.85 is: 9,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.76 : 16,196.93 = 6,698.85 : x
  2. Step 2: Convert to fraction form
    11,735.76/16,196.93 = 6,698.85/x
  3. Step 3: Cross multiply
    11,735.76x = 16,196.93 × 6,698.85
  4. Step 4: Simplify right side
    11,735.76x = 108,500,771.04
  5. Step 5: Solve for x
    x = 108,500,771.04/11,735.76
  6. Step 6: Final answer
    x = 9,245.31

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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.