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Finding the Fourth Proportional to 11,874.51, 17,817.81 and 4,859.70

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Solution

The fourth proportional to 11,874.51, 17,817.81 and 4,859.70 is: 7,292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.51 : 17,817.81 = 4,859.70 : x
  2. Step 2: Convert to fraction form
    11,874.51/17,817.81 = 4,859.70/x
  3. Step 3: Cross multiply
    11,874.51x = 17,817.81 × 4,859.70
  4. Step 4: Simplify right side
    11,874.51x = 86,589,211.26
  5. Step 5: Solve for x
    x = 86,589,211.26/11,874.51
  6. Step 6: Final answer
    x = 7,292.02

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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.