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Finding the Fourth Proportional to 7,684.34, 11,512.53 and 5,339.39

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Solution

The fourth proportional to 7,684.34, 11,512.53 and 5,339.39 is: 7,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.34 : 11,512.53 = 5,339.39 : x
  2. Step 2: Convert to fraction form
    7,684.34/11,512.53 = 5,339.39/x
  3. Step 3: Cross multiply
    7,684.34x = 11,512.53 × 5,339.39
  4. Step 4: Simplify right side
    7,684.34x = 61,469,829.99
  5. Step 5: Solve for x
    x = 61,469,829.99/7,684.34
  6. Step 6: Final answer
    x = 7,999.37

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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.