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Finding the Fourth Proportional to 11,206.95, 16,805.56 and 3,809.42

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Solution

The fourth proportional to 11,206.95, 16,805.56 and 3,809.42 is: 5,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.95 : 16,805.56 = 3,809.42 : x
  2. Step 2: Convert to fraction form
    11,206.95/16,805.56 = 3,809.42/x
  3. Step 3: Cross multiply
    11,206.95x = 16,805.56 × 3,809.42
  4. Step 4: Simplify right side
    11,206.95x = 64,019,436.38
  5. Step 5: Solve for x
    x = 64,019,436.38/11,206.95
  6. Step 6: Final answer
    x = 5,712.48

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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.