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Finding the Fourth Proportional to 11,862.78, 17,794.23 and 3,097.77

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Solution

The fourth proportional to 11,862.78, 17,794.23 and 3,097.77 is: 4,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.78 : 17,794.23 = 3,097.77 : x
  2. Step 2: Convert to fraction form
    11,862.78/17,794.23 = 3,097.77/x
  3. Step 3: Cross multiply
    11,862.78x = 17,794.23 × 3,097.77
  4. Step 4: Simplify right side
    11,862.78x = 55,122,431.87
  5. Step 5: Solve for x
    x = 55,122,431.87/11,862.78
  6. Step 6: Final answer
    x = 4,646.67

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Why These Related Problems?

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