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Finding the Fourth Proportional to 7,728.40, 11,592.60 and 3,833.11

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Solution

The fourth proportional to 7,728.40, 11,592.60 and 3,833.11 is: 5,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.40 : 11,592.60 = 3,833.11 : x
  2. Step 2: Convert to fraction form
    7,728.40/11,592.60 = 3,833.11/x
  3. Step 3: Cross multiply
    7,728.40x = 11,592.60 × 3,833.11
  4. Step 4: Simplify right side
    7,728.40x = 44,435,710.99
  5. Step 5: Solve for x
    x = 44,435,710.99/7,728.40
  6. Step 6: Final answer
    x = 5,749.67

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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.