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Finding the Fourth Proportional to 11,874.00, 17,817.07 and 4,859.19

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Solution

The fourth proportional to 11,874.00, 17,817.07 and 4,859.19 is: 7,291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.00 : 17,817.07 = 4,859.19 : x
  2. Step 2: Convert to fraction form
    11,874.00/17,817.07 = 4,859.19/x
  3. Step 3: Cross multiply
    11,874.00x = 17,817.07 × 4,859.19
  4. Step 4: Simplify right side
    11,874.00x = 86,576,560.77
  5. Step 5: Solve for x
    x = 86,576,560.77/11,874.00
  6. Step 6: Final answer
    x = 7,291.27

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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.