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Finding the Fourth Proportional to 8,313.47, 11,472.69 and 4,958.21

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Solution

The fourth proportional to 8,313.47, 11,472.69 and 4,958.21 is: 6,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.47 : 11,472.69 = 4,958.21 : x
  2. Step 2: Convert to fraction form
    8,313.47/11,472.69 = 4,958.21/x
  3. Step 3: Cross multiply
    8,313.47x = 11,472.69 × 4,958.21
  4. Step 4: Simplify right side
    8,313.47x = 56,883,948.92
  5. Step 5: Solve for x
    x = 56,883,948.92/8,313.47
  6. Step 6: Final answer
    x = 6,842.39

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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.