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Finding the Fourth Proportional to 11,509.45, 15,883.20 and 6,728.31

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Solution

The fourth proportional to 11,509.45, 15,883.20 and 6,728.31 is: 9,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.45 : 15,883.20 = 6,728.31 : x
  2. Step 2: Convert to fraction form
    11,509.45/15,883.20 = 6,728.31/x
  3. Step 3: Cross multiply
    11,509.45x = 15,883.20 × 6,728.31
  4. Step 4: Simplify right side
    11,509.45x = 106,867,093.39
  5. Step 5: Solve for x
    x = 106,867,093.39/11,509.45
  6. Step 6: Final answer
    x = 9,285.16

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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.