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Finding the Fourth Proportional to 7,178.69, 10,773.30 and 4,712.65

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Solution

The fourth proportional to 7,178.69, 10,773.30 and 4,712.65 is: 7,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.69 : 10,773.30 = 4,712.65 : x
  2. Step 2: Convert to fraction form
    7,178.69/10,773.30 = 4,712.65/x
  3. Step 3: Cross multiply
    7,178.69x = 10,773.30 × 4,712.65
  4. Step 4: Simplify right side
    7,178.69x = 50,770,782.98
  5. Step 5: Solve for x
    x = 50,770,782.98/7,178.69
  6. Step 6: Final answer
    x = 7,072.43

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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.