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Finding the Fourth Proportional to 7,798.09, 11,690.50 and 3,412.27

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Solution

The fourth proportional to 7,798.09, 11,690.50 and 3,412.27 is: 5,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.09 : 11,690.50 = 3,412.27 : x
  2. Step 2: Convert to fraction form
    7,798.09/11,690.50 = 3,412.27/x
  3. Step 3: Cross multiply
    7,798.09x = 11,690.50 × 3,412.27
  4. Step 4: Simplify right side
    7,798.09x = 39,891,142.44
  5. Step 5: Solve for x
    x = 39,891,142.44/7,798.09
  6. Step 6: Final answer
    x = 5,115.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.