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Finding the Fourth Proportional to 7,767.71, 11,650.34 and 2,573.58

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Solution

The fourth proportional to 7,767.71, 11,650.34 and 2,573.58 is: 3,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.71 : 11,650.34 = 2,573.58 : x
  2. Step 2: Convert to fraction form
    7,767.71/11,650.34 = 2,573.58/x
  3. Step 3: Cross multiply
    7,767.71x = 11,650.34 × 2,573.58
  4. Step 4: Simplify right side
    7,767.71x = 29,983,069.15
  5. Step 5: Solve for x
    x = 29,983,069.15/7,767.71
  6. Step 6: Final answer
    x = 3,859.96

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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.