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Finding the Fourth Proportional to 5,962.24, 8,230.09 and 5,119.55

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Solution

The fourth proportional to 5,962.24, 8,230.09 and 5,119.55 is: 7,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.24 : 8,230.09 = 5,119.55 : x
  2. Step 2: Convert to fraction form
    5,962.24/8,230.09 = 5,119.55/x
  3. Step 3: Cross multiply
    5,962.24x = 8,230.09 × 5,119.55
  4. Step 4: Simplify right side
    5,962.24x = 42,134,390.63
  5. Step 5: Solve for x
    x = 42,134,390.63/5,962.24
  6. Step 6: Final answer
    x = 7,066.88

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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.