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Finding the Fourth Proportional to 8,047.60, 12,074.30 and 3,604.90

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Solution

The fourth proportional to 8,047.60, 12,074.30 and 3,604.90 is: 5,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.60 : 12,074.30 = 3,604.90 : x
  2. Step 2: Convert to fraction form
    8,047.60/12,074.30 = 3,604.90/x
  3. Step 3: Cross multiply
    8,047.60x = 12,074.30 × 3,604.90
  4. Step 4: Simplify right side
    8,047.60x = 43,526,644.07
  5. Step 5: Solve for x
    x = 43,526,644.07/8,047.60
  6. Step 6: Final answer
    x = 5,408.65

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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.