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Finding the Fourth Proportional to 6,949.08, 10,423.44 and 2,020.08

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Solution

The fourth proportional to 6,949.08, 10,423.44 and 2,020.08 is: 3,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.08 : 10,423.44 = 2,020.08 : x
  2. Step 2: Convert to fraction form
    6,949.08/10,423.44 = 2,020.08/x
  3. Step 3: Cross multiply
    6,949.08x = 10,423.44 × 2,020.08
  4. Step 4: Simplify right side
    6,949.08x = 21,056,182.68
  5. Step 5: Solve for x
    x = 21,056,182.68/6,949.08
  6. Step 6: Final answer
    x = 3,030.07

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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.