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Finding the Fourth Proportional to 11,400.24, 15,728.10 and 6,682.80

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Solution

The fourth proportional to 11,400.24, 15,728.10 and 6,682.80 is: 9,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.24 : 15,728.10 = 6,682.80 : x
  2. Step 2: Convert to fraction form
    11,400.24/15,728.10 = 6,682.80/x
  3. Step 3: Cross multiply
    11,400.24x = 15,728.10 × 6,682.80
  4. Step 4: Simplify right side
    11,400.24x = 105,107,746.68
  5. Step 5: Solve for x
    x = 105,107,746.68/11,400.24
  6. Step 6: Final answer
    x = 9,219.78

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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.