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Finding the Fourth Proportional to 7,523.94, 10,383.24 and 4,167.05

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Solution

The fourth proportional to 7,523.94, 10,383.24 and 4,167.05 is: 5,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.94 : 10,383.24 = 4,167.05 : x
  2. Step 2: Convert to fraction form
    7,523.94/10,383.24 = 4,167.05/x
  3. Step 3: Cross multiply
    7,523.94x = 10,383.24 × 4,167.05
  4. Step 4: Simplify right side
    7,523.94x = 43,267,480.24
  5. Step 5: Solve for x
    x = 43,267,480.24/7,523.94
  6. Step 6: Final answer
    x = 5,750.64

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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.