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Finding the Fourth Proportional to 10,794.03, 16,190.64 and 3,002.64

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Solution

The fourth proportional to 10,794.03, 16,190.64 and 3,002.64 is: 4,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.03 : 16,190.64 = 3,002.64 : x
  2. Step 2: Convert to fraction form
    10,794.03/16,190.64 = 3,002.64/x
  3. Step 3: Cross multiply
    10,794.03x = 16,190.64 × 3,002.64
  4. Step 4: Simplify right side
    10,794.03x = 48,614,663.29
  5. Step 5: Solve for x
    x = 48,614,663.29/10,794.03
  6. Step 6: Final answer
    x = 4,503.85

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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.