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Finding the Fourth Proportional to 10,039.68, 13,855.14 and 5,563.44

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Solution

The fourth proportional to 10,039.68, 13,855.14 and 5,563.44 is: 7,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.68 : 13,855.14 = 5,563.44 : x
  2. Step 2: Convert to fraction form
    10,039.68/13,855.14 = 5,563.44/x
  3. Step 3: Cross multiply
    10,039.68x = 13,855.14 × 5,563.44
  4. Step 4: Simplify right side
    10,039.68x = 77,082,240.08
  5. Step 5: Solve for x
    x = 77,082,240.08/10,039.68
  6. Step 6: Final answer
    x = 7,677.76

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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.