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Finding the Fourth Proportional to 11,922.94, 16,458.29 and 7,955.61

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Solution

The fourth proportional to 11,922.94, 16,458.29 and 7,955.61 is: 10,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.94 : 16,458.29 = 7,955.61 : x
  2. Step 2: Convert to fraction form
    11,922.94/16,458.29 = 7,955.61/x
  3. Step 3: Cross multiply
    11,922.94x = 16,458.29 × 7,955.61
  4. Step 4: Simplify right side
    11,922.94x = 130,935,736.51
  5. Step 5: Solve for x
    x = 130,935,736.51/11,922.94
  6. Step 6: Final answer
    x = 10,981.83

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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.