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Finding the Fourth Proportional to 6,950.27, 10,416.37 and 5,300.75

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Solution

The fourth proportional to 6,950.27, 10,416.37 and 5,300.75 is: 7,944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.27 : 10,416.37 = 5,300.75 : x
  2. Step 2: Convert to fraction form
    6,950.27/10,416.37 = 5,300.75/x
  3. Step 3: Cross multiply
    6,950.27x = 10,416.37 × 5,300.75
  4. Step 4: Simplify right side
    6,950.27x = 55,214,546.77
  5. Step 5: Solve for x
    x = 55,214,546.77/6,950.27
  6. Step 6: Final answer
    x = 7,944.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.