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Finding the Fourth Proportional to 11,166.84, 16,735.59 and 6,238.80

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Solution

The fourth proportional to 11,166.84, 16,735.59 and 6,238.80 is: 9,350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.84 : 16,735.59 = 6,238.80 : x
  2. Step 2: Convert to fraction form
    11,166.84/16,735.59 = 6,238.80/x
  3. Step 3: Cross multiply
    11,166.84x = 16,735.59 × 6,238.80
  4. Step 4: Simplify right side
    11,166.84x = 104,409,998.89
  5. Step 5: Solve for x
    x = 104,409,998.89/11,166.84
  6. Step 6: Final answer
    x = 9,350.00

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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.