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Finding the Fourth Proportional to 7,862.88, 11,798.19 and 3,703.26

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Solution

The fourth proportional to 7,862.88, 11,798.19 and 3,703.26 is: 5,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.88 : 11,798.19 = 3,703.26 : x
  2. Step 2: Convert to fraction form
    7,862.88/11,798.19 = 3,703.26/x
  3. Step 3: Cross multiply
    7,862.88x = 11,798.19 × 3,703.26
  4. Step 4: Simplify right side
    7,862.88x = 43,691,765.10
  5. Step 5: Solve for x
    x = 43,691,765.10/7,862.88
  6. Step 6: Final answer
    x = 5,556.71

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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.