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Finding the Fourth Proportional to 11,206.86, 16,808.63 and 4,185.99

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Solution

The fourth proportional to 11,206.86, 16,808.63 and 4,185.99 is: 6,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.86 : 16,808.63 = 4,185.99 : x
  2. Step 2: Convert to fraction form
    11,206.86/16,808.63 = 4,185.99/x
  3. Step 3: Cross multiply
    11,206.86x = 16,808.63 × 4,185.99
  4. Step 4: Simplify right side
    11,206.86x = 70,360,736.16
  5. Step 5: Solve for x
    x = 70,360,736.16/11,206.86
  6. Step 6: Final answer
    x = 6,278.37

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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.