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Finding the Fourth Proportional to 11,297.83, 16,945.29 and 2,978.50

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Solution

The fourth proportional to 11,297.83, 16,945.29 and 2,978.50 is: 4,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.83 : 16,945.29 = 2,978.50 : x
  2. Step 2: Convert to fraction form
    11,297.83/16,945.29 = 2,978.50/x
  3. Step 3: Cross multiply
    11,297.83x = 16,945.29 × 2,978.50
  4. Step 4: Simplify right side
    11,297.83x = 50,471,461.54
  5. Step 5: Solve for x
    x = 50,471,461.54/11,297.83
  6. Step 6: Final answer
    x = 4,467.36

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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.