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Finding the Fourth Proportional to 7,923.30, 11,896.94 and 6,293.06

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Solution

The fourth proportional to 7,923.30, 11,896.94 and 6,293.06 is: 9,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.30 : 11,896.94 = 6,293.06 : x
  2. Step 2: Convert to fraction form
    7,923.30/11,896.94 = 6,293.06/x
  3. Step 3: Cross multiply
    7,923.30x = 11,896.94 × 6,293.06
  4. Step 4: Simplify right side
    7,923.30x = 74,868,157.24
  5. Step 5: Solve for x
    x = 74,868,157.24/7,923.30
  6. Step 6: Final answer
    x = 9,449.11

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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.