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Finding the Fourth Proportional to 11,516.47, 17,274.74 and 3,196.94

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Solution

The fourth proportional to 11,516.47, 17,274.74 and 3,196.94 is: 4,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.47 : 17,274.74 = 3,196.94 : x
  2. Step 2: Convert to fraction form
    11,516.47/17,274.74 = 3,196.94/x
  3. Step 3: Cross multiply
    11,516.47x = 17,274.74 × 3,196.94
  4. Step 4: Simplify right side
    11,516.47x = 55,226,204.94
  5. Step 5: Solve for x
    x = 55,226,204.94/11,516.47
  6. Step 6: Final answer
    x = 4,795.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.