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Finding the Fourth Proportional to 11,794.80, 16,273.88 and 7,598

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Solution

The fourth proportional to 11,794.80, 16,273.88 and 7,598 is: 10,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.80 : 16,273.88 = 7,598 : x
  2. Step 2: Convert to fraction form
    11,794.80/16,273.88 = 7,598/x
  3. Step 3: Cross multiply
    11,794.80x = 16,273.88 × 7,598
  4. Step 4: Simplify right side
    11,794.80x = 123,648,940.24
  5. Step 5: Solve for x
    x = 123,648,940.24/11,794.80
  6. Step 6: Final answer
    x = 10,483.34

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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.