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Finding the Fourth Proportional to 7,944.48, 10,960.84 and 4,586.84

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Solution

The fourth proportional to 7,944.48, 10,960.84 and 4,586.84 is: 6,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.48 : 10,960.84 = 4,586.84 : x
  2. Step 2: Convert to fraction form
    7,944.48/10,960.84 = 4,586.84/x
  3. Step 3: Cross multiply
    7,944.48x = 10,960.84 × 4,586.84
  4. Step 4: Simplify right side
    7,944.48x = 50,275,619.35
  5. Step 5: Solve for x
    x = 50,275,619.35/7,944.48
  6. Step 6: Final answer
    x = 6,328.37

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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.