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Finding the Fourth Proportional to 11,650.50, 17,477.82 and 5,406.30

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Solution

The fourth proportional to 11,650.50, 17,477.82 and 5,406.30 is: 8,110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.50 : 17,477.82 = 5,406.30 : x
  2. Step 2: Convert to fraction form
    11,650.50/17,477.82 = 5,406.30/x
  3. Step 3: Cross multiply
    11,650.50x = 17,477.82 × 5,406.30
  4. Step 4: Simplify right side
    11,650.50x = 94,490,338.27
  5. Step 5: Solve for x
    x = 94,490,338.27/11,650.50
  6. Step 6: Final answer
    x = 8,110.41

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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.