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Finding the Fourth Proportional to 11,902.94, 16,422.31 and 7,924.69

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Solution

The fourth proportional to 11,902.94, 16,422.31 and 7,924.69 is: 10,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.94 : 16,422.31 = 7,924.69 : x
  2. Step 2: Convert to fraction form
    11,902.94/16,422.31 = 7,924.69/x
  3. Step 3: Cross multiply
    11,902.94x = 16,422.31 × 7,924.69
  4. Step 4: Simplify right side
    11,902.94x = 130,141,715.83
  5. Step 5: Solve for x
    x = 130,141,715.83/11,902.94
  6. Step 6: Final answer
    x = 10,933.58

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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.