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Finding the Fourth Proportional to 10,039.95, 13,855.21 and 5,563.78

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Solution

The fourth proportional to 10,039.95, 13,855.21 and 5,563.78 is: 7,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.95 : 13,855.21 = 5,563.78 : x
  2. Step 2: Convert to fraction form
    10,039.95/13,855.21 = 5,563.78/x
  3. Step 3: Cross multiply
    10,039.95x = 13,855.21 × 5,563.78
  4. Step 4: Simplify right side
    10,039.95x = 77,087,286.63
  5. Step 5: Solve for x
    x = 77,087,286.63/10,039.95
  6. Step 6: Final answer
    x = 7,678.05

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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.