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Finding the Fourth Proportional to 7,576.26, 11,348.90 and 6,175.67

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Solution

The fourth proportional to 7,576.26, 11,348.90 and 6,175.67 is: 9,250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.26 : 11,348.90 = 6,175.67 : x
  2. Step 2: Convert to fraction form
    7,576.26/11,348.90 = 6,175.67/x
  3. Step 3: Cross multiply
    7,576.26x = 11,348.90 × 6,175.67
  4. Step 4: Simplify right side
    7,576.26x = 70,087,045.82
  5. Step 5: Solve for x
    x = 70,087,045.82/7,576.26
  6. Step 6: Final answer
    x = 9,250.88

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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.