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Finding the Fourth Proportional to 7,798.87, 11,698.98 and 2,252.80

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Solution

The fourth proportional to 7,798.87, 11,698.98 and 2,252.80 is: 3,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.87 : 11,698.98 = 2,252.80 : x
  2. Step 2: Convert to fraction form
    7,798.87/11,698.98 = 2,252.80/x
  3. Step 3: Cross multiply
    7,798.87x = 11,698.98 × 2,252.80
  4. Step 4: Simplify right side
    7,798.87x = 26,355,462.14
  5. Step 5: Solve for x
    x = 26,355,462.14/7,798.87
  6. Step 6: Final answer
    x = 3,379.39

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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.