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Finding the Fourth Proportional to 11,568.98, 17,353.16 and 3,249.06

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Solution

The fourth proportional to 11,568.98, 17,353.16 and 3,249.06 is: 4,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.98 : 17,353.16 = 3,249.06 : x
  2. Step 2: Convert to fraction form
    11,568.98/17,353.16 = 3,249.06/x
  3. Step 3: Cross multiply
    11,568.98x = 17,353.16 × 3,249.06
  4. Step 4: Simplify right side
    11,568.98x = 56,381,458.03
  5. Step 5: Solve for x
    x = 56,381,458.03/11,568.98
  6. Step 6: Final answer
    x = 4,873.50

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Why These Related Problems?

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