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Finding the Fourth Proportional to 11,638.21, 17,459.23 and 4,618.26

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Solution

The fourth proportional to 11,638.21, 17,459.23 and 4,618.26 is: 6,928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.21 : 17,459.23 = 4,618.26 : x
  2. Step 2: Convert to fraction form
    11,638.21/17,459.23 = 4,618.26/x
  3. Step 3: Cross multiply
    11,638.21x = 17,459.23 × 4,618.26
  4. Step 4: Simplify right side
    11,638.21x = 80,631,263.54
  5. Step 5: Solve for x
    x = 80,631,263.54/11,638.21
  6. Step 6: Final answer
    x = 6,928.15

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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.