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Finding the Fourth Proportional to 11,439.77, 15,783.75 and 7,855.80

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Solution

The fourth proportional to 11,439.77, 15,783.75 and 7,855.80 is: 10,838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439.77 : 15,783.75 = 7,855.80 : x
  2. Step 2: Convert to fraction form
    11,439.77/15,783.75 = 7,855.80/x
  3. Step 3: Cross multiply
    11,439.77x = 15,783.75 × 7,855.80
  4. Step 4: Simplify right side
    11,439.77x = 123,993,983.25
  5. Step 5: Solve for x
    x = 123,993,983.25/11,439.77
  6. Step 6: Final answer
    x = 10,838.86

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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.