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Finding the Fourth Proportional to 7,698.92, 11,550.33 and 2,152.27

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Solution

The fourth proportional to 7,698.92, 11,550.33 and 2,152.27 is: 3,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.92 : 11,550.33 = 2,152.27 : x
  2. Step 2: Convert to fraction form
    7,698.92/11,550.33 = 2,152.27/x
  3. Step 3: Cross multiply
    7,698.92x = 11,550.33 × 2,152.27
  4. Step 4: Simplify right side
    7,698.92x = 24,859,443.19
  5. Step 5: Solve for x
    x = 24,859,443.19/7,698.92
  6. Step 6: Final answer
    x = 3,228.95

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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.