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Finding the Fourth Proportional to 7,684.94, 11,525.88 and 3,523.98

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Solution

The fourth proportional to 7,684.94, 11,525.88 and 3,523.98 is: 5,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.94 : 11,525.88 = 3,523.98 : x
  2. Step 2: Convert to fraction form
    7,684.94/11,525.88 = 3,523.98/x
  3. Step 3: Cross multiply
    7,684.94x = 11,525.88 × 3,523.98
  4. Step 4: Simplify right side
    7,684.94x = 40,616,970.60
  5. Step 5: Solve for x
    x = 40,616,970.60/7,684.94
  6. Step 6: Final answer
    x = 5,285.27

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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.