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Finding the Fourth Proportional to 8,749.44, 12,074.16 and 4,770.60

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Solution

The fourth proportional to 8,749.44, 12,074.16 and 4,770.60 is: 6,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.44 : 12,074.16 = 4,770.60 : x
  2. Step 2: Convert to fraction form
    8,749.44/12,074.16 = 4,770.60/x
  3. Step 3: Cross multiply
    8,749.44x = 12,074.16 × 4,770.60
  4. Step 4: Simplify right side
    8,749.44x = 57,600,987.70
  5. Step 5: Solve for x
    x = 57,600,987.70/8,749.44
  6. Step 6: Final answer
    x = 6,583.39

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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.