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Finding the Fourth Proportional to 8,313.17, 11,461.79 and 5,324.09

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Solution

The fourth proportional to 8,313.17, 11,461.79 and 5,324.09 is: 7,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.17 : 11,461.79 = 5,324.09 : x
  2. Step 2: Convert to fraction form
    8,313.17/11,461.79 = 5,324.09/x
  3. Step 3: Cross multiply
    8,313.17x = 11,461.79 × 5,324.09
  4. Step 4: Simplify right side
    8,313.17x = 61,023,557.52
  5. Step 5: Solve for x
    x = 61,023,557.52/8,313.17
  6. Step 6: Final answer
    x = 7,340.59

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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.