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Finding the Fourth Proportional to 11,798.80, 17,692.56 and 4,005.04

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Solution

The fourth proportional to 11,798.80, 17,692.56 and 4,005.04 is: 6,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.80 : 17,692.56 = 4,005.04 : x
  2. Step 2: Convert to fraction form
    11,798.80/17,692.56 = 4,005.04/x
  3. Step 3: Cross multiply
    11,798.80x = 17,692.56 × 4,005.04
  4. Step 4: Simplify right side
    11,798.80x = 70,859,410.50
  5. Step 5: Solve for x
    x = 70,859,410.50/11,798.80
  6. Step 6: Final answer
    x = 6,005.65

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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.