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Finding the Fourth Proportional to 7,920.40, 11,866.20 and 6,451.60

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Solution

The fourth proportional to 7,920.40, 11,866.20 and 6,451.60 is: 9,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.40 : 11,866.20 = 6,451.60 : x
  2. Step 2: Convert to fraction form
    7,920.40/11,866.20 = 6,451.60/x
  3. Step 3: Cross multiply
    7,920.40x = 11,866.20 × 6,451.60
  4. Step 4: Simplify right side
    7,920.40x = 76,555,975.92
  5. Step 5: Solve for x
    x = 76,555,975.92/7,920.40
  6. Step 6: Final answer
    x = 9,665.67

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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.