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Finding the Fourth Proportional to 11,798.22, 17,693.49 and 3,898.98

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Solution

The fourth proportional to 11,798.22, 17,693.49 and 3,898.98 is: 5,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.22 : 17,693.49 = 3,898.98 : x
  2. Step 2: Convert to fraction form
    11,798.22/17,693.49 = 3,898.98/x
  3. Step 3: Cross multiply
    11,798.22x = 17,693.49 × 3,898.98
  4. Step 4: Simplify right side
    11,798.22x = 68,986,563.64
  5. Step 5: Solve for x
    x = 68,986,563.64/11,798.22
  6. Step 6: Final answer
    x = 5,847.20

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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.