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Finding the Fourth Proportional to 8,549.54, 12,824.40 and 3,003.04

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Solution

The fourth proportional to 8,549.54, 12,824.40 and 3,003.04 is: 4,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.54 : 12,824.40 = 3,003.04 : x
  2. Step 2: Convert to fraction form
    8,549.54/12,824.40 = 3,003.04/x
  3. Step 3: Cross multiply
    8,549.54x = 12,824.40 × 3,003.04
  4. Step 4: Simplify right side
    8,549.54x = 38,512,186.18
  5. Step 5: Solve for x
    x = 38,512,186.18/8,549.54
  6. Step 6: Final answer
    x = 4,504.59

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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.