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Finding the Fourth Proportional to 11,523.84, 17,282.88 and 3,734.88

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Solution

The fourth proportional to 11,523.84, 17,282.88 and 3,734.88 is: 5,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.84 : 17,282.88 = 3,734.88 : x
  2. Step 2: Convert to fraction form
    11,523.84/17,282.88 = 3,734.88/x
  3. Step 3: Cross multiply
    11,523.84x = 17,282.88 × 3,734.88
  4. Step 4: Simplify right side
    11,523.84x = 64,549,482.85
  5. Step 5: Solve for x
    x = 64,549,482.85/11,523.84
  6. Step 6: Final answer
    x = 5,601.39

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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.