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Finding the Fourth Proportional to 7,425.14, 11,138.04 and 4,135.75

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Solution

The fourth proportional to 7,425.14, 11,138.04 and 4,135.75 is: 6,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,425.14 : 11,138.04 = 4,135.75 : x
  2. Step 2: Convert to fraction form
    7,425.14/11,138.04 = 4,135.75/x
  3. Step 3: Cross multiply
    7,425.14x = 11,138.04 × 4,135.75
  4. Step 4: Simplify right side
    7,425.14x = 46,064,121.08
  5. Step 5: Solve for x
    x = 46,064,121.08/7,425.14
  6. Step 6: Final answer
    x = 6,203.81

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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.