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Finding the Fourth Proportional to 4,836.11, 7,262.68 and 4,766.86

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Solution

The fourth proportional to 4,836.11, 7,262.68 and 4,766.86 is: 7,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836.11 : 7,262.68 = 4,766.86 : x
  2. Step 2: Convert to fraction form
    4,836.11/7,262.68 = 4,766.86/x
  3. Step 3: Cross multiply
    4,836.11x = 7,262.68 × 4,766.86
  4. Step 4: Simplify right side
    4,836.11x = 34,620,144.35
  5. Step 5: Solve for x
    x = 34,620,144.35/4,836.11
  6. Step 6: Final answer
    x = 7,158.67

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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.