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Finding the Fourth Proportional to 7,342.10, 10,131.80 and 3,984.80

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Solution

The fourth proportional to 7,342.10, 10,131.80 and 3,984.80 is: 5,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.10 : 10,131.80 = 3,984.80 : x
  2. Step 2: Convert to fraction form
    7,342.10/10,131.80 = 3,984.80/x
  3. Step 3: Cross multiply
    7,342.10x = 10,131.80 × 3,984.80
  4. Step 4: Simplify right side
    7,342.10x = 40,373,155.94
  5. Step 5: Solve for x
    x = 40,373,155.94/7,342.10
  6. Step 6: Final answer
    x = 5,498.85

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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.