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Finding the Fourth Proportional to 7,182.95, 9,912.59 and 3,996.50

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Solution

The fourth proportional to 7,182.95, 9,912.59 and 3,996.50 is: 5,515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.95 : 9,912.59 = 3,996.50 : x
  2. Step 2: Convert to fraction form
    7,182.95/9,912.59 = 3,996.50/x
  3. Step 3: Cross multiply
    7,182.95x = 9,912.59 × 3,996.50
  4. Step 4: Simplify right side
    7,182.95x = 39,615,596.39
  5. Step 5: Solve for x
    x = 39,615,596.39/7,182.95
  6. Step 6: Final answer
    x = 5,515.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.