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Finding the Fourth Proportional to 11,680.29, 17,522.91 and 3,889.71

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Solution

The fourth proportional to 11,680.29, 17,522.91 and 3,889.71 is: 5,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.29 : 17,522.91 = 3,889.71 : x
  2. Step 2: Convert to fraction form
    11,680.29/17,522.91 = 3,889.71/x
  3. Step 3: Cross multiply
    11,680.29x = 17,522.91 × 3,889.71
  4. Step 4: Simplify right side
    11,680.29x = 68,159,038.26
  5. Step 5: Solve for x
    x = 68,159,038.26/11,680.29
  6. Step 6: Final answer
    x = 5,835.39

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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.