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Finding the Fourth Proportional to 8,549.01, 12,824.87 and 3,002.67

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Solution

The fourth proportional to 8,549.01, 12,824.87 and 3,002.67 is: 4,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.01 : 12,824.87 = 3,002.67 : x
  2. Step 2: Convert to fraction form
    8,549.01/12,824.87 = 3,002.67/x
  3. Step 3: Cross multiply
    8,549.01x = 12,824.87 × 3,002.67
  4. Step 4: Simplify right side
    8,549.01x = 38,508,837.39
  5. Step 5: Solve for x
    x = 38,508,837.39/8,549.01
  6. Step 6: Final answer
    x = 4,504.48

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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.