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Finding the Fourth Proportional to 7,385.85, 11,072.54 and 3,222.80

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Solution

The fourth proportional to 7,385.85, 11,072.54 and 3,222.80 is: 4,831.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.85 : 11,072.54 = 3,222.80 : x
  2. Step 2: Convert to fraction form
    7,385.85/11,072.54 = 3,222.80/x
  3. Step 3: Cross multiply
    7,385.85x = 11,072.54 × 3,222.80
  4. Step 4: Simplify right side
    7,385.85x = 35,684,510.44
  5. Step 5: Solve for x
    x = 35,684,510.44/7,385.85
  6. Step 6: Final answer
    x = 4,831.47

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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.