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Finding the Fourth Proportional to 7,717.82, 11,569.43 and 2,786.14

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Solution

The fourth proportional to 7,717.82, 11,569.43 and 2,786.14 is: 4,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.82 : 11,569.43 = 2,786.14 : x
  2. Step 2: Convert to fraction form
    7,717.82/11,569.43 = 2,786.14/x
  3. Step 3: Cross multiply
    7,717.82x = 11,569.43 × 2,786.14
  4. Step 4: Simplify right side
    7,717.82x = 32,234,051.70
  5. Step 5: Solve for x
    x = 32,234,051.70/7,717.82
  6. Step 6: Final answer
    x = 4,176.57

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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.