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Finding the Fourth Proportional to 11,178.40, 16,850.20 and 10,410.40

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Solution

The fourth proportional to 11,178.40, 16,850.20 and 10,410.40 is: 15,692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.40 : 16,850.20 = 10,410.40 : x
  2. Step 2: Convert to fraction form
    11,178.40/16,850.20 = 10,410.40/x
  3. Step 3: Cross multiply
    11,178.40x = 16,850.20 × 10,410.40
  4. Step 4: Simplify right side
    11,178.40x = 175,417,322.08
  5. Step 5: Solve for x
    x = 175,417,322.08/11,178.40
  6. Step 6: Final answer
    x = 15,692.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.