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Finding the Fourth Proportional to 10,855.99, 14,974.15 and 8,614.31

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Solution

The fourth proportional to 10,855.99, 14,974.15 and 8,614.31 is: 11,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.99 : 14,974.15 = 8,614.31 : x
  2. Step 2: Convert to fraction form
    10,855.99/14,974.15 = 8,614.31/x
  3. Step 3: Cross multiply
    10,855.99x = 14,974.15 × 8,614.31
  4. Step 4: Simplify right side
    10,855.99x = 128,991,970.09
  5. Step 5: Solve for x
    x = 128,991,970.09/10,855.99
  6. Step 6: Final answer
    x = 11,882.10

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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.