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Finding the Fourth Proportional to 11,680.44, 17,501.10 and 8,211.48

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Solution

The fourth proportional to 11,680.44, 17,501.10 and 8,211.48 is: 12,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.44 : 17,501.10 = 8,211.48 : x
  2. Step 2: Convert to fraction form
    11,680.44/17,501.10 = 8,211.48/x
  3. Step 3: Cross multiply
    11,680.44x = 17,501.10 × 8,211.48
  4. Step 4: Simplify right side
    11,680.44x = 143,709,932.63
  5. Step 5: Solve for x
    x = 143,709,932.63/11,680.44
  6. Step 6: Final answer
    x = 12,303.47

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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.