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Finding the Fourth Proportional to 6,477.51, 9,711.72 and 2,525.73

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Solution

The fourth proportional to 6,477.51, 9,711.72 and 2,525.73 is: 3,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.51 : 9,711.72 = 2,525.73 : x
  2. Step 2: Convert to fraction form
    6,477.51/9,711.72 = 2,525.73/x
  3. Step 3: Cross multiply
    6,477.51x = 9,711.72 × 2,525.73
  4. Step 4: Simplify right side
    6,477.51x = 24,529,182.56
  5. Step 5: Solve for x
    x = 24,529,182.56/6,477.51
  6. Step 6: Final answer
    x = 3,786.82

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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.