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Finding the Fourth Proportional to 8,749.38, 12,074.12 and 4,770.49

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Solution

The fourth proportional to 8,749.38, 12,074.12 and 4,770.49 is: 6,583.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.38 : 12,074.12 = 4,770.49 : x
  2. Step 2: Convert to fraction form
    8,749.38/12,074.12 = 4,770.49/x
  3. Step 3: Cross multiply
    8,749.38x = 12,074.12 × 4,770.49
  4. Step 4: Simplify right side
    8,749.38x = 57,599,468.72
  5. Step 5: Solve for x
    x = 57,599,468.72/8,749.38
  6. Step 6: Final answer
    x = 6,583.26

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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.