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Finding the Fourth Proportional to 6,838.40, 10,267.20 and 4,246.40

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Solution

The fourth proportional to 6,838.40, 10,267.20 and 4,246.40 is: 6,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.40 : 10,267.20 = 4,246.40 : x
  2. Step 2: Convert to fraction form
    6,838.40/10,267.20 = 4,246.40/x
  3. Step 3: Cross multiply
    6,838.40x = 10,267.20 × 4,246.40
  4. Step 4: Simplify right side
    6,838.40x = 43,598,638.08
  5. Step 5: Solve for x
    x = 43,598,638.08/6,838.40
  6. Step 6: Final answer
    x = 6,375.56

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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.