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Finding the Fourth Proportional to 11,763.70, 17,651.61 and 7,817.69

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Solution

The fourth proportional to 11,763.70, 17,651.61 and 7,817.69 is: 11,730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.70 : 17,651.61 = 7,817.69 : x
  2. Step 2: Convert to fraction form
    11,763.70/17,651.61 = 7,817.69/x
  3. Step 3: Cross multiply
    11,763.70x = 17,651.61 × 7,817.69
  4. Step 4: Simplify right side
    11,763.70x = 137,994,859.11
  5. Step 5: Solve for x
    x = 137,994,859.11/11,763.70
  6. Step 6: Final answer
    x = 11,730.57

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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.