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Finding the Fourth Proportional to 11,461.50, 17,197.11 and 6,190.29

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Solution

The fourth proportional to 11,461.50, 17,197.11 and 6,190.29 is: 9,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.50 : 17,197.11 = 6,190.29 : x
  2. Step 2: Convert to fraction form
    11,461.50/17,197.11 = 6,190.29/x
  3. Step 3: Cross multiply
    11,461.50x = 17,197.11 × 6,190.29
  4. Step 4: Simplify right side
    11,461.50x = 106,455,098.06
  5. Step 5: Solve for x
    x = 106,455,098.06/11,461.50
  6. Step 6: Final answer
    x = 9,288.06

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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.