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Finding the Fourth Proportional to 8,288.85, 11,438.49 and 4,562.85

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Solution

The fourth proportional to 8,288.85, 11,438.49 and 4,562.85 is: 6,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.85 : 11,438.49 = 4,562.85 : x
  2. Step 2: Convert to fraction form
    8,288.85/11,438.49 = 4,562.85/x
  3. Step 3: Cross multiply
    8,288.85x = 11,438.49 × 4,562.85
  4. Step 4: Simplify right side
    8,288.85x = 52,192,174.10
  5. Step 5: Solve for x
    x = 52,192,174.10/8,288.85
  6. Step 6: Final answer
    x = 6,296.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.