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Finding the Fourth Proportional to 7,525.87, 11,290.07 and 2,782.31

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Solution

The fourth proportional to 7,525.87, 11,290.07 and 2,782.31 is: 4,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.87 : 11,290.07 = 2,782.31 : x
  2. Step 2: Convert to fraction form
    7,525.87/11,290.07 = 2,782.31/x
  3. Step 3: Cross multiply
    7,525.87x = 11,290.07 × 2,782.31
  4. Step 4: Simplify right side
    7,525.87x = 31,412,474.66
  5. Step 5: Solve for x
    x = 31,412,474.66/7,525.87
  6. Step 6: Final answer
    x = 4,173.93

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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.