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Finding the Fourth Proportional to 11,811.98, 16,298.46 and 7,273.14

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Solution

The fourth proportional to 11,811.98, 16,298.46 and 7,273.14 is: 10,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.98 : 16,298.46 = 7,273.14 : x
  2. Step 2: Convert to fraction form
    11,811.98/16,298.46 = 7,273.14/x
  3. Step 3: Cross multiply
    11,811.98x = 16,298.46 × 7,273.14
  4. Step 4: Simplify right side
    11,811.98x = 118,540,981.36
  5. Step 5: Solve for x
    x = 118,540,981.36/11,811.98
  6. Step 6: Final answer
    x = 10,035.66

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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.