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Finding the Fourth Proportional to 7,082.94, 10,626.31 and 6,308.25

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Solution

The fourth proportional to 7,082.94, 10,626.31 and 6,308.25 is: 9,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.94 : 10,626.31 = 6,308.25 : x
  2. Step 2: Convert to fraction form
    7,082.94/10,626.31 = 6,308.25/x
  3. Step 3: Cross multiply
    7,082.94x = 10,626.31 × 6,308.25
  4. Step 4: Simplify right side
    7,082.94x = 67,033,388.52
  5. Step 5: Solve for x
    x = 67,033,388.52/7,082.94
  6. Step 6: Final answer
    x = 9,464.06

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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.