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Finding the Fourth Proportional to 11,692.40, 17,533.20 and 5,115.20

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Solution

The fourth proportional to 11,692.40, 17,533.20 and 5,115.20 is: 7,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.40 : 17,533.20 = 5,115.20 : x
  2. Step 2: Convert to fraction form
    11,692.40/17,533.20 = 5,115.20/x
  3. Step 3: Cross multiply
    11,692.40x = 17,533.20 × 5,115.20
  4. Step 4: Simplify right side
    11,692.40x = 89,685,824.64
  5. Step 5: Solve for x
    x = 89,685,824.64/11,692.40
  6. Step 6: Final answer
    x = 7,670.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.