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Finding the Fourth Proportional to 6,777.38, 10,166.73 and 2,335.40

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Solution

The fourth proportional to 6,777.38, 10,166.73 and 2,335.40 is: 3,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.38 : 10,166.73 = 2,335.40 : x
  2. Step 2: Convert to fraction form
    6,777.38/10,166.73 = 2,335.40/x
  3. Step 3: Cross multiply
    6,777.38x = 10,166.73 × 2,335.40
  4. Step 4: Simplify right side
    6,777.38x = 23,743,330.41
  5. Step 5: Solve for x
    x = 23,743,330.41/6,777.38
  6. Step 6: Final answer
    x = 3,503.32

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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.