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Finding the Fourth Proportional to 12,526.85, 17,286.89 and 6,861.71

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Solution

The fourth proportional to 12,526.85, 17,286.89 and 6,861.71 is: 9,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.85 : 17,286.89 = 6,861.71 : x
  2. Step 2: Convert to fraction form
    12,526.85/17,286.89 = 6,861.71/x
  3. Step 3: Cross multiply
    12,526.85x = 17,286.89 × 6,861.71
  4. Step 4: Simplify right side
    12,526.85x = 118,617,556.70
  5. Step 5: Solve for x
    x = 118,617,556.70/12,526.85
  6. Step 6: Final answer
    x = 9,469.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.