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Finding the Fourth Proportional to 11,563.20, 17,347.20 and 6,628.80

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Solution

The fourth proportional to 11,563.20, 17,347.20 and 6,628.80 is: 9,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.20 : 17,347.20 = 6,628.80 : x
  2. Step 2: Convert to fraction form
    11,563.20/17,347.20 = 6,628.80/x
  3. Step 3: Cross multiply
    11,563.20x = 17,347.20 × 6,628.80
  4. Step 4: Simplify right side
    11,563.20x = 114,991,119.36
  5. Step 5: Solve for x
    x = 114,991,119.36/11,563.20
  6. Step 6: Final answer
    x = 9,944.58

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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.