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Finding the Fourth Proportional to 10,687.74, 16,031.89 and 5,064.09

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Solution

The fourth proportional to 10,687.74, 16,031.89 and 5,064.09 is: 7,596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.74 : 16,031.89 = 5,064.09 : x
  2. Step 2: Convert to fraction form
    10,687.74/16,031.89 = 5,064.09/x
  3. Step 3: Cross multiply
    10,687.74x = 16,031.89 × 5,064.09
  4. Step 4: Simplify right side
    10,687.74x = 81,186,933.83
  5. Step 5: Solve for x
    x = 81,186,933.83/10,687.74
  6. Step 6: Final answer
    x = 7,596.27

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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.