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Finding the Fourth Proportional to 8,548.68, 12,823.56 and 3,617.67

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Solution

The fourth proportional to 8,548.68, 12,823.56 and 3,617.67 is: 5,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.68 : 12,823.56 = 3,617.67 : x
  2. Step 2: Convert to fraction form
    8,548.68/12,823.56 = 3,617.67/x
  3. Step 3: Cross multiply
    8,548.68x = 12,823.56 × 3,617.67
  4. Step 4: Simplify right side
    8,548.68x = 46,391,408.31
  5. Step 5: Solve for x
    x = 46,391,408.31/8,548.68
  6. Step 6: Final answer
    x = 5,426.73

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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.