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Finding the Fourth Proportional to 8,313.38, 11,472.32 and 4,536.74

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Solution

The fourth proportional to 8,313.38, 11,472.32 and 4,536.74 is: 6,260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.38 : 11,472.32 = 4,536.74 : x
  2. Step 2: Convert to fraction form
    8,313.38/11,472.32 = 4,536.74/x
  3. Step 3: Cross multiply
    8,313.38x = 11,472.32 × 4,536.74
  4. Step 4: Simplify right side
    8,313.38x = 52,046,933.04
  5. Step 5: Solve for x
    x = 52,046,933.04/8,313.38
  6. Step 6: Final answer
    x = 6,260.62

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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.