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Finding the Fourth Proportional to 8,537.72, 12,808.74 and 3,604.82

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Solution

The fourth proportional to 8,537.72, 12,808.74 and 3,604.82 is: 5,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.72 : 12,808.74 = 3,604.82 : x
  2. Step 2: Convert to fraction form
    8,537.72/12,808.74 = 3,604.82/x
  3. Step 3: Cross multiply
    8,537.72x = 12,808.74 × 3,604.82
  4. Step 4: Simplify right side
    8,537.72x = 46,173,202.13
  5. Step 5: Solve for x
    x = 46,173,202.13/8,537.72
  6. Step 6: Final answer
    x = 5,408.14

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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.