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Finding the Fourth Proportional to 11,388.60, 15,692.94 and 8,399.70

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Solution

The fourth proportional to 11,388.60, 15,692.94 and 8,399.70 is: 11,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,388.60 : 15,692.94 = 8,399.70 : x
  2. Step 2: Convert to fraction form
    11,388.60/15,692.94 = 8,399.70/x
  3. Step 3: Cross multiply
    11,388.60x = 15,692.94 × 8,399.70
  4. Step 4: Simplify right side
    11,388.60x = 131,815,988.12
  5. Step 5: Solve for x
    x = 131,815,988.12/11,388.60
  6. Step 6: Final answer
    x = 11,574.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.