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Finding the Fourth Proportional to 11,549.82, 15,938.72 and 6,244.64

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Solution

The fourth proportional to 11,549.82, 15,938.72 and 6,244.64 is: 8,617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.82 : 15,938.72 = 6,244.64 : x
  2. Step 2: Convert to fraction form
    11,549.82/15,938.72 = 6,244.64/x
  3. Step 3: Cross multiply
    11,549.82x = 15,938.72 × 6,244.64
  4. Step 4: Simplify right side
    11,549.82x = 99,531,568.46
  5. Step 5: Solve for x
    x = 99,531,568.46/11,549.82
  6. Step 6: Final answer
    x = 8,617.59

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