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Finding the Fourth Proportional to 8,199.67, 11,315.48 and 4,662.88

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Solution

The fourth proportional to 8,199.67, 11,315.48 and 4,662.88 is: 6,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.67 : 11,315.48 = 4,662.88 : x
  2. Step 2: Convert to fraction form
    8,199.67/11,315.48 = 4,662.88/x
  3. Step 3: Cross multiply
    8,199.67x = 11,315.48 × 4,662.88
  4. Step 4: Simplify right side
    8,199.67x = 52,762,668.81
  5. Step 5: Solve for x
    x = 52,762,668.81/8,199.67
  6. Step 6: Final answer
    x = 6,434.73

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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.