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Finding the Fourth Proportional to 6,817.04, 10,238.52 and 4,238

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Solution

The fourth proportional to 6,817.04, 10,238.52 and 4,238 is: 6,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.04 : 10,238.52 = 4,238 : x
  2. Step 2: Convert to fraction form
    6,817.04/10,238.52 = 4,238/x
  3. Step 3: Cross multiply
    6,817.04x = 10,238.52 × 4,238
  4. Step 4: Simplify right side
    6,817.04x = 43,390,847.76
  5. Step 5: Solve for x
    x = 43,390,847.76/6,817.04
  6. Step 6: Final answer
    x = 6,365.06

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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.