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Finding the Fourth Proportional to 7,823.68, 11,676.75 and 6,764.82

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Solution

The fourth proportional to 7,823.68, 11,676.75 and 6,764.82 is: 10,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.68 : 11,676.75 = 6,764.82 : x
  2. Step 2: Convert to fraction form
    7,823.68/11,676.75 = 6,764.82/x
  3. Step 3: Cross multiply
    7,823.68x = 11,676.75 × 6,764.82
  4. Step 4: Simplify right side
    7,823.68x = 78,991,111.94
  5. Step 5: Solve for x
    x = 78,991,111.94/7,823.68
  6. Step 6: Final answer
    x = 10,096.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.