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Finding the Fourth Proportional to 7,699.37, 11,595.74 and 6,832.67

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Solution

The fourth proportional to 7,699.37, 11,595.74 and 6,832.67 is: 10,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.37 : 11,595.74 = 6,832.67 : x
  2. Step 2: Convert to fraction form
    7,699.37/11,595.74 = 6,832.67/x
  3. Step 3: Cross multiply
    7,699.37x = 11,595.74 × 6,832.67
  4. Step 4: Simplify right side
    7,699.37x = 79,229,772.68
  5. Step 5: Solve for x
    x = 79,229,772.68/7,699.37
  6. Step 6: Final answer
    x = 10,290.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.