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Finding the Fourth Proportional to 7,975.86, 11,964.60 and 3,049.64

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Solution

The fourth proportional to 7,975.86, 11,964.60 and 3,049.64 is: 4,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.86 : 11,964.60 = 3,049.64 : x
  2. Step 2: Convert to fraction form
    7,975.86/11,964.60 = 3,049.64/x
  3. Step 3: Cross multiply
    7,975.86x = 11,964.60 × 3,049.64
  4. Step 4: Simplify right side
    7,975.86x = 36,487,726.70
  5. Step 5: Solve for x
    x = 36,487,726.70/7,975.86
  6. Step 6: Final answer
    x = 4,574.77

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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.