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Finding the Fourth Proportional to 11,549.21, 15,938.03 and 6,244.13

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Solution

The fourth proportional to 11,549.21, 15,938.03 and 6,244.13 is: 8,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.21 : 15,938.03 = 6,244.13 : x
  2. Step 2: Convert to fraction form
    11,549.21/15,938.03 = 6,244.13/x
  3. Step 3: Cross multiply
    11,549.21x = 15,938.03 × 6,244.13
  4. Step 4: Simplify right side
    11,549.21x = 99,519,131.26
  5. Step 5: Solve for x
    x = 99,519,131.26/11,549.21
  6. Step 6: Final answer
    x = 8,616.96

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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.