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Finding the Fourth Proportional to 11,549.64, 17,324.49 and 2,784.57

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Solution

The fourth proportional to 11,549.64, 17,324.49 and 2,784.57 is: 4,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.64 : 17,324.49 = 2,784.57 : x
  2. Step 2: Convert to fraction form
    11,549.64/17,324.49 = 2,784.57/x
  3. Step 3: Cross multiply
    11,549.64x = 17,324.49 × 2,784.57
  4. Step 4: Simplify right side
    11,549.64x = 48,241,255.12
  5. Step 5: Solve for x
    x = 48,241,255.12/11,549.64
  6. Step 6: Final answer
    x = 4,176.86

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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.