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Finding the Fourth Proportional to 11,203.33, 16,777.26 and 6,509.10

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Solution

The fourth proportional to 11,203.33, 16,777.26 and 6,509.10 is: 9,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.33 : 16,777.26 = 6,509.10 : x
  2. Step 2: Convert to fraction form
    11,203.33/16,777.26 = 6,509.10/x
  3. Step 3: Cross multiply
    11,203.33x = 16,777.26 × 6,509.10
  4. Step 4: Simplify right side
    11,203.33x = 109,204,835.48
  5. Step 5: Solve for x
    x = 109,204,835.48/11,203.33
  6. Step 6: Final answer
    x = 9,747.54

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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.