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Finding the Fourth Proportional to 11,475.36, 17,220.36 and 7,684.56

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Solution

The fourth proportional to 11,475.36, 17,220.36 and 7,684.56 is: 11,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.36 : 17,220.36 = 7,684.56 : x
  2. Step 2: Convert to fraction form
    11,475.36/17,220.36 = 7,684.56/x
  3. Step 3: Cross multiply
    11,475.36x = 17,220.36 × 7,684.56
  4. Step 4: Simplify right side
    11,475.36x = 132,330,889.64
  5. Step 5: Solve for x
    x = 132,330,889.64/11,475.36
  6. Step 6: Final answer
    x = 11,531.74

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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.