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Finding the Fourth Proportional to 11,735.55, 16,192.42 and 6,698.16

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Solution

The fourth proportional to 11,735.55, 16,192.42 and 6,698.16 is: 9,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.55 : 16,192.42 = 6,698.16 : x
  2. Step 2: Convert to fraction form
    11,735.55/16,192.42 = 6,698.16/x
  3. Step 3: Cross multiply
    11,735.55x = 16,192.42 × 6,698.16
  4. Step 4: Simplify right side
    11,735.55x = 108,459,379.47
  5. Step 5: Solve for x
    x = 108,459,379.47/11,735.55
  6. Step 6: Final answer
    x = 9,241.95

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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.