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Finding the Fourth Proportional to 7,867.73, 11,803.22 and 6,578.21

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Solution

The fourth proportional to 7,867.73, 11,803.22 and 6,578.21 is: 9,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.73 : 11,803.22 = 6,578.21 : x
  2. Step 2: Convert to fraction form
    7,867.73/11,803.22 = 6,578.21/x
  3. Step 3: Cross multiply
    7,867.73x = 11,803.22 × 6,578.21
  4. Step 4: Simplify right side
    7,867.73x = 77,644,059.84
  5. Step 5: Solve for x
    x = 77,644,059.84/7,867.73
  6. Step 6: Final answer
    x = 9,868.67

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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.