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Finding the Fourth Proportional to 10,453.82, 15,680.57 and 4,213.67

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Solution

The fourth proportional to 10,453.82, 15,680.57 and 4,213.67 is: 6,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.82 : 15,680.57 = 4,213.67 : x
  2. Step 2: Convert to fraction form
    10,453.82/15,680.57 = 4,213.67/x
  3. Step 3: Cross multiply
    10,453.82x = 15,680.57 × 4,213.67
  4. Step 4: Simplify right side
    10,453.82x = 66,072,647.92
  5. Step 5: Solve for x
    x = 66,072,647.92/10,453.82
  6. Step 6: Final answer
    x = 6,320.43

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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.