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Finding the Fourth Proportional to 7,696.32, 11,537.44 and 3,745.40

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Solution

The fourth proportional to 7,696.32, 11,537.44 and 3,745.40 is: 5,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.32 : 11,537.44 = 3,745.40 : x
  2. Step 2: Convert to fraction form
    7,696.32/11,537.44 = 3,745.40/x
  3. Step 3: Cross multiply
    7,696.32x = 11,537.44 × 3,745.40
  4. Step 4: Simplify right side
    7,696.32x = 43,212,327.78
  5. Step 5: Solve for x
    x = 43,212,327.78/7,696.32
  6. Step 6: Final answer
    x = 5,614.67

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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.