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Finding the Fourth Proportional to 11,201.86, 15,456.64 and 6,728.08

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Solution

The fourth proportional to 11,201.86, 15,456.64 and 6,728.08 is: 9,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.86 : 15,456.64 = 6,728.08 : x
  2. Step 2: Convert to fraction form
    11,201.86/15,456.64 = 6,728.08/x
  3. Step 3: Cross multiply
    11,201.86x = 15,456.64 × 6,728.08
  4. Step 4: Simplify right side
    11,201.86x = 103,993,510.45
  5. Step 5: Solve for x
    x = 103,993,510.45/11,201.86
  6. Step 6: Final answer
    x = 9,283.59

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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.