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Finding the Fourth Proportional to 7,794.24, 11,689.07 and 4,235.81

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Solution

The fourth proportional to 7,794.24, 11,689.07 and 4,235.81 is: 6,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.24 : 11,689.07 = 4,235.81 : x
  2. Step 2: Convert to fraction form
    7,794.24/11,689.07 = 4,235.81/x
  3. Step 3: Cross multiply
    7,794.24x = 11,689.07 × 4,235.81
  4. Step 4: Simplify right side
    7,794.24x = 49,512,631.74
  5. Step 5: Solve for x
    x = 49,512,631.74/7,794.24
  6. Step 6: Final answer
    x = 6,352.46

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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.