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Finding the Fourth Proportional to 7,794.40, 11,690.47 and 4,633.69

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Solution

The fourth proportional to 7,794.40, 11,690.47 and 4,633.69 is: 6,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.40 : 11,690.47 = 4,633.69 : x
  2. Step 2: Convert to fraction form
    7,794.40/11,690.47 = 4,633.69/x
  3. Step 3: Cross multiply
    7,794.40x = 11,690.47 × 4,633.69
  4. Step 4: Simplify right side
    7,794.40x = 54,170,013.93
  5. Step 5: Solve for x
    x = 54,170,013.93/7,794.40
  6. Step 6: Final answer
    x = 6,949.86

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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.