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Finding the Fourth Proportional to 8,514.31, 11,751.37 and 5,329.09

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Solution

The fourth proportional to 8,514.31, 11,751.37 and 5,329.09 is: 7,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.31 : 11,751.37 = 5,329.09 : x
  2. Step 2: Convert to fraction form
    8,514.31/11,751.37 = 5,329.09/x
  3. Step 3: Cross multiply
    8,514.31x = 11,751.37 × 5,329.09
  4. Step 4: Simplify right side
    8,514.31x = 62,624,108.35
  5. Step 5: Solve for x
    x = 62,624,108.35/8,514.31
  6. Step 6: Final answer
    x = 7,355.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.