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Finding the Fourth Proportional to 11,185.06, 16,783.47 and 4,949.37

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Solution

The fourth proportional to 11,185.06, 16,783.47 and 4,949.37 is: 7,426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.06 : 16,783.47 = 4,949.37 : x
  2. Step 2: Convert to fraction form
    11,185.06/16,783.47 = 4,949.37/x
  3. Step 3: Cross multiply
    11,185.06x = 16,783.47 × 4,949.37
  4. Step 4: Simplify right side
    11,185.06x = 83,067,602.91
  5. Step 5: Solve for x
    x = 83,067,602.91/11,185.06
  6. Step 6: Final answer
    x = 7,426.66

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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.