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Finding the Fourth Proportional to 6,729.87, 10,096.32 and 2,050.30

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Solution

The fourth proportional to 6,729.87, 10,096.32 and 2,050.30 is: 3,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.87 : 10,096.32 = 2,050.30 : x
  2. Step 2: Convert to fraction form
    6,729.87/10,096.32 = 2,050.30/x
  3. Step 3: Cross multiply
    6,729.87x = 10,096.32 × 2,050.30
  4. Step 4: Simplify right side
    6,729.87x = 20,700,484.90
  5. Step 5: Solve for x
    x = 20,700,484.90/6,729.87
  6. Step 6: Final answer
    x = 3,075.91

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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.