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Finding the Fourth Proportional to 11,782.30, 17,672.12 and 3,017.28

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Solution

The fourth proportional to 11,782.30, 17,672.12 and 3,017.28 is: 4,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.30 : 17,672.12 = 3,017.28 : x
  2. Step 2: Convert to fraction form
    11,782.30/17,672.12 = 3,017.28/x
  3. Step 3: Cross multiply
    11,782.30x = 17,672.12 × 3,017.28
  4. Step 4: Simplify right side
    11,782.30x = 53,321,734.23
  5. Step 5: Solve for x
    x = 53,321,734.23/11,782.30
  6. Step 6: Final answer
    x = 4,525.58

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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.