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Finding the Fourth Proportional to 8,291.27, 12,434.85 and 5,169.67

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Solution

The fourth proportional to 8,291.27, 12,434.85 and 5,169.67 is: 7,753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.27 : 12,434.85 = 5,169.67 : x
  2. Step 2: Convert to fraction form
    8,291.27/12,434.85 = 5,169.67/x
  3. Step 3: Cross multiply
    8,291.27x = 12,434.85 × 5,169.67
  4. Step 4: Simplify right side
    8,291.27x = 64,284,071.00
  5. Step 5: Solve for x
    x = 64,284,071.00/8,291.27
  6. Step 6: Final answer
    x = 7,753.22

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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.