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Finding the Fourth Proportional to 6,855.53, 10,280.23 and 2,174.67

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Solution

The fourth proportional to 6,855.53, 10,280.23 and 2,174.67 is: 3,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.53 : 10,280.23 = 2,174.67 : x
  2. Step 2: Convert to fraction form
    6,855.53/10,280.23 = 2,174.67/x
  3. Step 3: Cross multiply
    6,855.53x = 10,280.23 × 2,174.67
  4. Step 4: Simplify right side
    6,855.53x = 22,356,102.34
  5. Step 5: Solve for x
    x = 22,356,102.34/6,855.53
  6. Step 6: Final answer
    x = 3,261.03

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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.