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Finding the Fourth Proportional to 11,259.74, 15,540.36 and 6,546.75

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Solution

The fourth proportional to 11,259.74, 15,540.36 and 6,546.75 is: 9,035.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259.74 : 15,540.36 = 6,546.75 : x
  2. Step 2: Convert to fraction form
    11,259.74/15,540.36 = 6,546.75/x
  3. Step 3: Cross multiply
    11,259.74x = 15,540.36 × 6,546.75
  4. Step 4: Simplify right side
    11,259.74x = 101,738,851.83
  5. Step 5: Solve for x
    x = 101,738,851.83/11,259.74
  6. Step 6: Final answer
    x = 9,035.63

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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.