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Finding the Fourth Proportional to 10,514.25, 15,739.17 and 6,809.11

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Solution

The fourth proportional to 10,514.25, 15,739.17 and 6,809.11 is: 10,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.25 : 15,739.17 = 6,809.11 : x
  2. Step 2: Convert to fraction form
    10,514.25/15,739.17 = 6,809.11/x
  3. Step 3: Cross multiply
    10,514.25x = 15,739.17 × 6,809.11
  4. Step 4: Simplify right side
    10,514.25x = 107,169,739.84
  5. Step 5: Solve for x
    x = 107,169,739.84/10,514.25
  6. Step 6: Final answer
    x = 10,192.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.