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Finding the Fourth Proportional to 7,357.56, 11,035.12 and 2,427.27

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Solution

The fourth proportional to 7,357.56, 11,035.12 and 2,427.27 is: 3,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.56 : 11,035.12 = 2,427.27 : x
  2. Step 2: Convert to fraction form
    7,357.56/11,035.12 = 2,427.27/x
  3. Step 3: Cross multiply
    7,357.56x = 11,035.12 × 2,427.27
  4. Step 4: Simplify right side
    7,357.56x = 26,785,215.72
  5. Step 5: Solve for x
    x = 26,785,215.72/7,357.56
  6. Step 6: Final answer
    x = 3,640.50

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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.