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Finding the Fourth Proportional to 11,838.85, 17,763.74 and 5,266.91

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Solution

The fourth proportional to 11,838.85, 17,763.74 and 5,266.91 is: 7,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.85 : 17,763.74 = 5,266.91 : x
  2. Step 2: Convert to fraction form
    11,838.85/17,763.74 = 5,266.91/x
  3. Step 3: Cross multiply
    11,838.85x = 17,763.74 × 5,266.91
  4. Step 4: Simplify right side
    11,838.85x = 93,560,019.84
  5. Step 5: Solve for x
    x = 93,560,019.84/11,838.85
  6. Step 6: Final answer
    x = 7,902.80

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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.