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Finding the Fourth Proportional to 7,862.26, 11,794.84 and 2,597.64

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Solution

The fourth proportional to 7,862.26, 11,794.84 and 2,597.64 is: 3,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.26 : 11,794.84 = 2,597.64 : x
  2. Step 2: Convert to fraction form
    7,862.26/11,794.84 = 2,597.64/x
  3. Step 3: Cross multiply
    7,862.26x = 11,794.84 × 2,597.64
  4. Step 4: Simplify right side
    7,862.26x = 30,638,748.18
  5. Step 5: Solve for x
    x = 30,638,748.18/7,862.26
  6. Step 6: Final answer
    x = 3,896.94

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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.