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Finding the Fourth Proportional to 6,772.65, 10,152.18 and 3,844.86

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Solution

The fourth proportional to 6,772.65, 10,152.18 and 3,844.86 is: 5,763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.65 : 10,152.18 = 3,844.86 : x
  2. Step 2: Convert to fraction form
    6,772.65/10,152.18 = 3,844.86/x
  3. Step 3: Cross multiply
    6,772.65x = 10,152.18 × 3,844.86
  4. Step 4: Simplify right side
    6,772.65x = 39,033,710.79
  5. Step 5: Solve for x
    x = 39,033,710.79/6,772.65
  6. Step 6: Final answer
    x = 5,763.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.