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Finding the Fourth Proportional to 7,376, 10,179.04 and 4,064

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Solution

The fourth proportional to 7,376, 10,179.04 and 4,064 is: 5,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,376 : 10,179.04 = 4,064 : x
  2. Step 2: Convert to fraction form
    7,376/10,179.04 = 4,064/x
  3. Step 3: Cross multiply
    7,376x = 10,179.04 × 4,064
  4. Step 4: Simplify right side
    7,376x = 41,367,618.56
  5. Step 5: Solve for x
    x = 41,367,618.56/7,376
  6. Step 6: Final answer
    x = 5,608.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.