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Finding the Fourth Proportional to 7,794.42, 11,689.87 and 2,246.52

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Solution

The fourth proportional to 7,794.42, 11,689.87 and 2,246.52 is: 3,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.42 : 11,689.87 = 2,246.52 : x
  2. Step 2: Convert to fraction form
    7,794.42/11,689.87 = 2,246.52/x
  3. Step 3: Cross multiply
    7,794.42x = 11,689.87 × 2,246.52
  4. Step 4: Simplify right side
    7,794.42x = 26,261,526.75
  5. Step 5: Solve for x
    x = 26,261,526.75/7,794.42
  6. Step 6: Final answer
    x = 3,369.27

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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.