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Finding the Fourth Proportional to 11,549.75, 15,938.57 and 6,244.54

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Solution

The fourth proportional to 11,549.75, 15,938.57 and 6,244.54 is: 8,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.75 : 15,938.57 = 6,244.54 : x
  2. Step 2: Convert to fraction form
    11,549.75/15,938.57 = 6,244.54/x
  3. Step 3: Cross multiply
    11,549.75x = 15,938.57 × 6,244.54
  4. Step 4: Simplify right side
    11,549.75x = 99,529,013.67
  5. Step 5: Solve for x
    x = 99,529,013.67/11,549.75
  6. Step 6: Final answer
    x = 8,617.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.