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Finding the Fourth Proportional to 11,830.25, 16,325.71 and 6,794.80

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Solution

The fourth proportional to 11,830.25, 16,325.71 and 6,794.80 is: 9,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.25 : 16,325.71 = 6,794.80 : x
  2. Step 2: Convert to fraction form
    11,830.25/16,325.71 = 6,794.80/x
  3. Step 3: Cross multiply
    11,830.25x = 16,325.71 × 6,794.80
  4. Step 4: Simplify right side
    11,830.25x = 110,929,852.68
  5. Step 5: Solve for x
    x = 110,929,852.68/11,830.25
  6. Step 6: Final answer
    x = 9,376.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.