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Finding the Fourth Proportional to 6,763.74, 10,137.33 and 3,844.50

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Solution

The fourth proportional to 6,763.74, 10,137.33 and 3,844.50 is: 5,762.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.74 : 10,137.33 = 3,844.50 : x
  2. Step 2: Convert to fraction form
    6,763.74/10,137.33 = 3,844.50/x
  3. Step 3: Cross multiply
    6,763.74x = 10,137.33 × 3,844.50
  4. Step 4: Simplify right side
    6,763.74x = 38,972,965.19
  5. Step 5: Solve for x
    x = 38,972,965.19/6,763.74
  6. Step 6: Final answer
    x = 5,762.04

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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.