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Finding the Fourth Proportional to 7,772.36, 11,658.06 and 3,155.24

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Solution

The fourth proportional to 7,772.36, 11,658.06 and 3,155.24 is: 4,732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.36 : 11,658.06 = 3,155.24 : x
  2. Step 2: Convert to fraction form
    7,772.36/11,658.06 = 3,155.24/x
  3. Step 3: Cross multiply
    7,772.36x = 11,658.06 × 3,155.24
  4. Step 4: Simplify right side
    7,772.36x = 36,783,977.23
  5. Step 5: Solve for x
    x = 36,783,977.23/7,772.36
  6. Step 6: Final answer
    x = 4,732.67

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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.