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Finding the Fourth Proportional to 11,645.28, 17,445.03 and 7,684.46

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Solution

The fourth proportional to 11,645.28, 17,445.03 and 7,684.46 is: 11,511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.28 : 17,445.03 = 7,684.46 : x
  2. Step 2: Convert to fraction form
    11,645.28/17,445.03 = 7,684.46/x
  3. Step 3: Cross multiply
    11,645.28x = 17,445.03 × 7,684.46
  4. Step 4: Simplify right side
    11,645.28x = 134,055,548.01
  5. Step 5: Solve for x
    x = 134,055,548.01/11,645.28
  6. Step 6: Final answer
    x = 11,511.58

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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.