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Finding the Fourth Proportional to 8,231.30, 11,359.20 and 4,505.30

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Solution

The fourth proportional to 8,231.30, 11,359.20 and 4,505.30 is: 6,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.30 : 11,359.20 = 4,505.30 : x
  2. Step 2: Convert to fraction form
    8,231.30/11,359.20 = 4,505.30/x
  3. Step 3: Cross multiply
    8,231.30x = 11,359.20 × 4,505.30
  4. Step 4: Simplify right side
    8,231.30x = 51,176,603.76
  5. Step 5: Solve for x
    x = 51,176,603.76/8,231.30
  6. Step 6: Final answer
    x = 6,217.32

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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.