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Finding the Fourth Proportional to 8,231.85, 11,358.23 and 5,246.46

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Solution

The fourth proportional to 8,231.85, 11,358.23 and 5,246.46 is: 7,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.85 : 11,358.23 = 5,246.46 : x
  2. Step 2: Convert to fraction form
    8,231.85/11,358.23 = 5,246.46/x
  3. Step 3: Cross multiply
    8,231.85x = 11,358.23 × 5,246.46
  4. Step 4: Simplify right side
    8,231.85x = 59,590,473.13
  5. Step 5: Solve for x
    x = 59,590,473.13/8,231.85
  6. Step 6: Final answer
    x = 7,239.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.