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Finding the Fourth Proportional to 11,549.57, 15,938.42 and 6,244.38

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Solution

The fourth proportional to 11,549.57, 15,938.42 and 6,244.38 is: 8,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.57 : 15,938.42 = 6,244.38 : x
  2. Step 2: Convert to fraction form
    11,549.57/15,938.42 = 6,244.38/x
  3. Step 3: Cross multiply
    11,549.57x = 15,938.42 × 6,244.38
  4. Step 4: Simplify right side
    11,549.57x = 99,525,519.86
  5. Step 5: Solve for x
    x = 99,525,519.86/11,549.57
  6. Step 6: Final answer
    x = 8,617.25

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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.