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Finding the Fourth Proportional to 11,847.57, 16,349.76 and 6,542.28

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Solution

The fourth proportional to 11,847.57, 16,349.76 and 6,542.28 is: 9,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.57 : 16,349.76 = 6,542.28 : x
  2. Step 2: Convert to fraction form
    11,847.57/16,349.76 = 6,542.28/x
  3. Step 3: Cross multiply
    11,847.57x = 16,349.76 × 6,542.28
  4. Step 4: Simplify right side
    11,847.57x = 106,964,707.85
  5. Step 5: Solve for x
    x = 106,964,707.85/11,847.57
  6. Step 6: Final answer
    x = 9,028.41

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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.