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Finding the Fourth Proportional to 7,544.37, 11,313.92 and 3,100.76

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Solution

The fourth proportional to 7,544.37, 11,313.92 and 3,100.76 is: 4,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.37 : 11,313.92 = 3,100.76 : x
  2. Step 2: Convert to fraction form
    7,544.37/11,313.92 = 3,100.76/x
  3. Step 3: Cross multiply
    7,544.37x = 11,313.92 × 3,100.76
  4. Step 4: Simplify right side
    7,544.37x = 35,081,750.58
  5. Step 5: Solve for x
    x = 35,081,750.58/7,544.37
  6. Step 6: Final answer
    x = 4,650.06

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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.