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Finding the Fourth Proportional to 7,676.56, 11,499.72 and 7,136.56

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Solution

The fourth proportional to 7,676.56, 11,499.72 and 7,136.56 is: 10,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.56 : 11,499.72 = 7,136.56 : x
  2. Step 2: Convert to fraction form
    7,676.56/11,499.72 = 7,136.56/x
  3. Step 3: Cross multiply
    7,676.56x = 11,499.72 × 7,136.56
  4. Step 4: Simplify right side
    7,676.56x = 82,068,441.76
  5. Step 5: Solve for x
    x = 82,068,441.76/7,676.56
  6. Step 6: Final answer
    x = 10,690.78

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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.