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Finding the Fourth Proportional to 11,377.70, 17,068.40 and 3,584.69

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Solution

The fourth proportional to 11,377.70, 17,068.40 and 3,584.69 is: 5,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.70 : 17,068.40 = 3,584.69 : x
  2. Step 2: Convert to fraction form
    11,377.70/17,068.40 = 3,584.69/x
  3. Step 3: Cross multiply
    11,377.70x = 17,068.40 × 3,584.69
  4. Step 4: Simplify right side
    11,377.70x = 61,184,922.80
  5. Step 5: Solve for x
    x = 61,184,922.80/11,377.70
  6. Step 6: Final answer
    x = 5,377.62

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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.