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Finding the Fourth Proportional to 11,374.70, 17,064.45 and 3,584.30

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Solution

The fourth proportional to 11,374.70, 17,064.45 and 3,584.30 is: 5,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.70 : 17,064.45 = 3,584.30 : x
  2. Step 2: Convert to fraction form
    11,374.70/17,064.45 = 3,584.30/x
  3. Step 3: Cross multiply
    11,374.70x = 17,064.45 × 3,584.30
  4. Step 4: Simplify right side
    11,374.70x = 61,164,108.14
  5. Step 5: Solve for x
    x = 61,164,108.14/11,374.70
  6. Step 6: Final answer
    x = 5,377.21

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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.