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Finding the Fourth Proportional to 8,134.79, 12,197.86 and 3,748.50

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Solution

The fourth proportional to 8,134.79, 12,197.86 and 3,748.50 is: 5,620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.79 : 12,197.86 = 3,748.50 : x
  2. Step 2: Convert to fraction form
    8,134.79/12,197.86 = 3,748.50/x
  3. Step 3: Cross multiply
    8,134.79x = 12,197.86 × 3,748.50
  4. Step 4: Simplify right side
    8,134.79x = 45,723,668.84
  5. Step 5: Solve for x
    x = 45,723,668.84/8,134.79
  6. Step 6: Final answer
    x = 5,620.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.