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Finding the Fourth Proportional to 8,313.32, 11,472.21 and 4,536.56

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Solution

The fourth proportional to 8,313.32, 11,472.21 and 4,536.56 is: 6,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.32 : 11,472.21 = 4,536.56 : x
  2. Step 2: Convert to fraction form
    8,313.32/11,472.21 = 4,536.56/x
  3. Step 3: Cross multiply
    8,313.32x = 11,472.21 × 4,536.56
  4. Step 4: Simplify right side
    8,313.32x = 52,044,311.64
  5. Step 5: Solve for x
    x = 52,044,311.64/8,313.32
  6. Step 6: Final answer
    x = 6,260.36

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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.