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Finding the Fourth Proportional to 11,739.78, 16,201.44 and 6,435

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Solution

The fourth proportional to 11,739.78, 16,201.44 and 6,435 is: 8,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.78 : 16,201.44 = 6,435 : x
  2. Step 2: Convert to fraction form
    11,739.78/16,201.44 = 6,435/x
  3. Step 3: Cross multiply
    11,739.78x = 16,201.44 × 6,435
  4. Step 4: Simplify right side
    11,739.78x = 104,256,266.40
  5. Step 5: Solve for x
    x = 104,256,266.40/11,739.78
  6. Step 6: Final answer
    x = 8,880.60

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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.