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Finding the Fourth Proportional to 12,594.69, 17,379.61 and 7,289.85

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Solution

The fourth proportional to 12,594.69, 17,379.61 and 7,289.85 is: 10,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.69 : 17,379.61 = 7,289.85 : x
  2. Step 2: Convert to fraction form
    12,594.69/17,379.61 = 7,289.85/x
  3. Step 3: Cross multiply
    12,594.69x = 17,379.61 × 7,289.85
  4. Step 4: Simplify right side
    12,594.69x = 126,694,740.15
  5. Step 5: Solve for x
    x = 126,694,740.15/12,594.69
  6. Step 6: Final answer
    x = 10,059.38

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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.