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Finding the Fourth Proportional to 6,199.56, 8,540.64 and 5,204.52

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Solution

The fourth proportional to 6,199.56, 8,540.64 and 5,204.52 is: 7,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.56 : 8,540.64 = 5,204.52 : x
  2. Step 2: Convert to fraction form
    6,199.56/8,540.64 = 5,204.52/x
  3. Step 3: Cross multiply
    6,199.56x = 8,540.64 × 5,204.52
  4. Step 4: Simplify right side
    6,199.56x = 44,449,931.69
  5. Step 5: Solve for x
    x = 44,449,931.69/6,199.56
  6. Step 6: Final answer
    x = 7,169.85

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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.