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Finding the Fourth Proportional to 11,469.64, 17,176.75 and 6,524.29

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Solution

The fourth proportional to 11,469.64, 17,176.75 and 6,524.29 is: 9,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.64 : 17,176.75 = 6,524.29 : x
  2. Step 2: Convert to fraction form
    11,469.64/17,176.75 = 6,524.29/x
  3. Step 3: Cross multiply
    11,469.64x = 17,176.75 × 6,524.29
  4. Step 4: Simplify right side
    11,469.64x = 112,066,098.26
  5. Step 5: Solve for x
    x = 112,066,098.26/11,469.64
  6. Step 6: Final answer
    x = 9,770.67

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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.