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Finding the Fourth Proportional to 7,933.88, 11,896.74 and 4,653.40

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Solution

The fourth proportional to 7,933.88, 11,896.74 and 4,653.40 is: 6,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,933.88 : 11,896.74 = 4,653.40 : x
  2. Step 2: Convert to fraction form
    7,933.88/11,896.74 = 4,653.40/x
  3. Step 3: Cross multiply
    7,933.88x = 11,896.74 × 4,653.40
  4. Step 4: Simplify right side
    7,933.88x = 55,360,289.92
  5. Step 5: Solve for x
    x = 55,360,289.92/7,933.88
  6. Step 6: Final answer
    x = 6,977.71

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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.