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Finding the Fourth Proportional to 8,238.47, 11,369.02 and 4,461.54

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Solution

The fourth proportional to 8,238.47, 11,369.02 and 4,461.54 is: 6,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.47 : 11,369.02 = 4,461.54 : x
  2. Step 2: Convert to fraction form
    8,238.47/11,369.02 = 4,461.54/x
  3. Step 3: Cross multiply
    8,238.47x = 11,369.02 × 4,461.54
  4. Step 4: Simplify right side
    8,238.47x = 50,723,365.91
  5. Step 5: Solve for x
    x = 50,723,365.91/8,238.47
  6. Step 6: Final answer
    x = 6,156.90

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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.