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Finding the Fourth Proportional to 11,775.94, 16,233.69 and 8,228.14

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Solution

The fourth proportional to 11,775.94, 16,233.69 and 8,228.14 is: 11,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.94 : 16,233.69 = 8,228.14 : x
  2. Step 2: Convert to fraction form
    11,775.94/16,233.69 = 8,228.14/x
  3. Step 3: Cross multiply
    11,775.94x = 16,233.69 × 8,228.14
  4. Step 4: Simplify right side
    11,775.94x = 133,573,074.04
  5. Step 5: Solve for x
    x = 133,573,074.04/11,775.94
  6. Step 6: Final answer
    x = 11,342.88

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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.