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Finding the Fourth Proportional to 11,799, 16,284.24 and 7,606.44

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Solution

The fourth proportional to 11,799, 16,284.24 and 7,606.44 is: 10,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799 : 16,284.24 = 7,606.44 : x
  2. Step 2: Convert to fraction form
    11,799/16,284.24 = 7,606.44/x
  3. Step 3: Cross multiply
    11,799x = 16,284.24 × 7,606.44
  4. Step 4: Simplify right side
    11,799x = 123,865,094.51
  5. Step 5: Solve for x
    x = 123,865,094.51/11,799
  6. Step 6: Final answer
    x = 10,497.93

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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.