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Finding the Fourth Proportional to 7,838.21, 11,763 and 2,908.55

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Solution

The fourth proportional to 7,838.21, 11,763 and 2,908.55 is: 4,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.21 : 11,763 = 2,908.55 : x
  2. Step 2: Convert to fraction form
    7,838.21/11,763 = 2,908.55/x
  3. Step 3: Cross multiply
    7,838.21x = 11,763 × 2,908.55
  4. Step 4: Simplify right side
    7,838.21x = 34,213,273.65
  5. Step 5: Solve for x
    x = 34,213,273.65/7,838.21
  6. Step 6: Final answer
    x = 4,364.93

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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.