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Finding the Fourth Proportional to 11,713.33, 17,568.85 and 6,446.60

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Solution

The fourth proportional to 11,713.33, 17,568.85 and 6,446.60 is: 9,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.33 : 17,568.85 = 6,446.60 : x
  2. Step 2: Convert to fraction form
    11,713.33/17,568.85 = 6,446.60/x
  3. Step 3: Cross multiply
    11,713.33x = 17,568.85 × 6,446.60
  4. Step 4: Simplify right side
    11,713.33x = 113,259,421.24
  5. Step 5: Solve for x
    x = 113,259,421.24/11,713.33
  6. Step 6: Final answer
    x = 9,669.28

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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.