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Finding the Fourth Proportional to 11,412.15, 17,110.89 and 4,836.57

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Solution

The fourth proportional to 11,412.15, 17,110.89 and 4,836.57 is: 7,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.15 : 17,110.89 = 4,836.57 : x
  2. Step 2: Convert to fraction form
    11,412.15/17,110.89 = 4,836.57/x
  3. Step 3: Cross multiply
    11,412.15x = 17,110.89 × 4,836.57
  4. Step 4: Simplify right side
    11,412.15x = 82,758,017.25
  5. Step 5: Solve for x
    x = 82,758,017.25/11,412.15
  6. Step 6: Final answer
    x = 7,251.75

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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.