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Finding the Fourth Proportional to 7,494.35, 10,342.05 and 4,137.48

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Solution

The fourth proportional to 7,494.35, 10,342.05 and 4,137.48 is: 5,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.35 : 10,342.05 = 4,137.48 : x
  2. Step 2: Convert to fraction form
    7,494.35/10,342.05 = 4,137.48/x
  3. Step 3: Cross multiply
    7,494.35x = 10,342.05 × 4,137.48
  4. Step 4: Simplify right side
    7,494.35x = 42,790,025.03
  5. Step 5: Solve for x
    x = 42,790,025.03/7,494.35
  6. Step 6: Final answer
    x = 5,709.64

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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.