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Finding the Fourth Proportional to 11,913.54, 16,437.96 and 7,936.80

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Solution

The fourth proportional to 11,913.54, 16,437.96 and 7,936.80 is: 10,950.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.54 : 16,437.96 = 7,936.80 : x
  2. Step 2: Convert to fraction form
    11,913.54/16,437.96 = 7,936.80/x
  3. Step 3: Cross multiply
    11,913.54x = 16,437.96 × 7,936.80
  4. Step 4: Simplify right side
    11,913.54x = 130,464,800.93
  5. Step 5: Solve for x
    x = 130,464,800.93/11,913.54
  6. Step 6: Final answer
    x = 10,950.97

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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.