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Finding the Fourth Proportional to 8,309.48, 11,471.31 and 6,416.81

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Solution

The fourth proportional to 8,309.48, 11,471.31 and 6,416.81 is: 8,858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.48 : 11,471.31 = 6,416.81 : x
  2. Step 2: Convert to fraction form
    8,309.48/11,471.31 = 6,416.81/x
  3. Step 3: Cross multiply
    8,309.48x = 11,471.31 × 6,416.81
  4. Step 4: Simplify right side
    8,309.48x = 73,609,202.38
  5. Step 5: Solve for x
    x = 73,609,202.38/8,309.48
  6. Step 6: Final answer
    x = 8,858.47

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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.