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Finding the Fourth Proportional to 10,782.37, 16,173.46 and 4,213.14

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Solution

The fourth proportional to 10,782.37, 16,173.46 and 4,213.14 is: 6,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.37 : 16,173.46 = 4,213.14 : x
  2. Step 2: Convert to fraction form
    10,782.37/16,173.46 = 4,213.14/x
  3. Step 3: Cross multiply
    10,782.37x = 16,173.46 × 4,213.14
  4. Step 4: Simplify right side
    10,782.37x = 68,141,051.26
  5. Step 5: Solve for x
    x = 68,141,051.26/10,782.37
  6. Step 6: Final answer
    x = 6,319.67

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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.