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Finding the Fourth Proportional to 6,965.30, 10,453 and 2,583.38

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Solution

The fourth proportional to 6,965.30, 10,453 and 2,583.38 is: 3,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.30 : 10,453 = 2,583.38 : x
  2. Step 2: Convert to fraction form
    6,965.30/10,453 = 2,583.38/x
  3. Step 3: Cross multiply
    6,965.30x = 10,453 × 2,583.38
  4. Step 4: Simplify right side
    6,965.30x = 27,004,071.14
  5. Step 5: Solve for x
    x = 27,004,071.14/6,965.30
  6. Step 6: Final answer
    x = 3,876.94

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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.