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Finding the Fourth Proportional to 11,546.64, 17,323.38 and 4,883.79

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Solution

The fourth proportional to 11,546.64, 17,323.38 and 4,883.79 is: 7,327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.64 : 17,323.38 = 4,883.79 : x
  2. Step 2: Convert to fraction form
    11,546.64/17,323.38 = 4,883.79/x
  3. Step 3: Cross multiply
    11,546.64x = 17,323.38 × 4,883.79
  4. Step 4: Simplify right side
    11,546.64x = 84,603,750.01
  5. Step 5: Solve for x
    x = 84,603,750.01/11,546.64
  6. Step 6: Final answer
    x = 7,327.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.