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Finding the Fourth Proportional to 11,893.74, 17,827.25 and 5,648.64

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Solution

The fourth proportional to 11,893.74, 17,827.25 and 5,648.64 is: 8,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.74 : 17,827.25 = 5,648.64 : x
  2. Step 2: Convert to fraction form
    11,893.74/17,827.25 = 5,648.64/x
  3. Step 3: Cross multiply
    11,893.74x = 17,827.25 × 5,648.64
  4. Step 4: Simplify right side
    11,893.74x = 100,699,689.20
  5. Step 5: Solve for x
    x = 100,699,689.20/11,893.74
  6. Step 6: Final answer
    x = 8,466.61

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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.