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Finding the Fourth Proportional to 7,185.57, 10,782.66 and 3,025.31

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Solution

The fourth proportional to 7,185.57, 10,782.66 and 3,025.31 is: 4,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.57 : 10,782.66 = 3,025.31 : x
  2. Step 2: Convert to fraction form
    7,185.57/10,782.66 = 3,025.31/x
  3. Step 3: Cross multiply
    7,185.57x = 10,782.66 × 3,025.31
  4. Step 4: Simplify right side
    7,185.57x = 32,620,889.12
  5. Step 5: Solve for x
    x = 32,620,889.12/7,185.57
  6. Step 6: Final answer
    x = 4,539.78

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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.