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Finding the Fourth Proportional to 8,231.52, 11,359.40 and 4,694.72

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Solution

The fourth proportional to 8,231.52, 11,359.40 and 4,694.72 is: 6,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.52 : 11,359.40 = 4,694.72 : x
  2. Step 2: Convert to fraction form
    8,231.52/11,359.40 = 4,694.72/x
  3. Step 3: Cross multiply
    8,231.52x = 11,359.40 × 4,694.72
  4. Step 4: Simplify right side
    8,231.52x = 53,329,202.37
  5. Step 5: Solve for x
    x = 53,329,202.37/8,231.52
  6. Step 6: Final answer
    x = 6,478.66

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