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Finding the Fourth Proportional to 8,137.21, 11,229.43 and 4,780.16

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Solution

The fourth proportional to 8,137.21, 11,229.43 and 4,780.16 is: 6,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.21 : 11,229.43 = 4,780.16 : x
  2. Step 2: Convert to fraction form
    8,137.21/11,229.43 = 4,780.16/x
  3. Step 3: Cross multiply
    8,137.21x = 11,229.43 × 4,780.16
  4. Step 4: Simplify right side
    8,137.21x = 53,678,502.05
  5. Step 5: Solve for x
    x = 53,678,502.05/8,137.21
  6. Step 6: Final answer
    x = 6,596.67

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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.