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Finding the Fourth Proportional to 6,855.40, 10,283.10 and 6,812.20

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Solution

The fourth proportional to 6,855.40, 10,283.10 and 6,812.20 is: 10,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.40 : 10,283.10 = 6,812.20 : x
  2. Step 2: Convert to fraction form
    6,855.40/10,283.10 = 6,812.20/x
  3. Step 3: Cross multiply
    6,855.40x = 10,283.10 × 6,812.20
  4. Step 4: Simplify right side
    6,855.40x = 70,050,533.82
  5. Step 5: Solve for x
    x = 70,050,533.82/6,855.40
  6. Step 6: Final answer
    x = 10,218.30

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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.