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Finding the Fourth Proportional to 8,524.46, 11,763.72 and 4,747.67

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Solution

The fourth proportional to 8,524.46, 11,763.72 and 4,747.67 is: 6,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.46 : 11,763.72 = 4,747.67 : x
  2. Step 2: Convert to fraction form
    8,524.46/11,763.72 = 4,747.67/x
  3. Step 3: Cross multiply
    8,524.46x = 11,763.72 × 4,747.67
  4. Step 4: Simplify right side
    8,524.46x = 55,850,177.98
  5. Step 5: Solve for x
    x = 55,850,177.98/8,524.46
  6. Step 6: Final answer
    x = 6,551.76

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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.