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Finding the Fourth Proportional to 7,165.05, 10,741.09 and 2,546.97

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Solution

The fourth proportional to 7,165.05, 10,741.09 and 2,546.97 is: 3,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.05 : 10,741.09 = 2,546.97 : x
  2. Step 2: Convert to fraction form
    7,165.05/10,741.09 = 2,546.97/x
  3. Step 3: Cross multiply
    7,165.05x = 10,741.09 × 2,546.97
  4. Step 4: Simplify right side
    7,165.05x = 27,357,234.00
  5. Step 5: Solve for x
    x = 27,357,234.00/7,165.05
  6. Step 6: Final answer
    x = 3,818.15

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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.