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Finding the Fourth Proportional to 11,841.40, 17,738.70 and 7,684.30

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Solution

The fourth proportional to 11,841.40, 17,738.70 and 7,684.30 is: 11,511.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.40 : 17,738.70 = 7,684.30 : x
  2. Step 2: Convert to fraction form
    11,841.40/17,738.70 = 7,684.30/x
  3. Step 3: Cross multiply
    11,841.40x = 17,738.70 × 7,684.30
  4. Step 4: Simplify right side
    11,841.40x = 136,309,492.41
  5. Step 5: Solve for x
    x = 136,309,492.41/11,841.40
  6. Step 6: Final answer
    x = 11,511.26

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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.