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Finding the Fourth Proportional to 6,737.93, 10,102.51 and 3,227.84

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Solution

The fourth proportional to 6,737.93, 10,102.51 and 3,227.84 is: 4,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.93 : 10,102.51 = 3,227.84 : x
  2. Step 2: Convert to fraction form
    6,737.93/10,102.51 = 3,227.84/x
  3. Step 3: Cross multiply
    6,737.93x = 10,102.51 × 3,227.84
  4. Step 4: Simplify right side
    6,737.93x = 32,609,303.07
  5. Step 5: Solve for x
    x = 32,609,303.07/6,737.93
  6. Step 6: Final answer
    x = 4,839.67

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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.