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Finding the Fourth Proportional to 11,874.35, 17,804.95 and 4,859.30

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Solution

The fourth proportional to 11,874.35, 17,804.95 and 4,859.30 is: 7,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.35 : 17,804.95 = 4,859.30 : x
  2. Step 2: Convert to fraction form
    11,874.35/17,804.95 = 4,859.30/x
  3. Step 3: Cross multiply
    11,874.35x = 17,804.95 × 4,859.30
  4. Step 4: Simplify right side
    11,874.35x = 86,519,510.58
  5. Step 5: Solve for x
    x = 86,519,510.58/11,874.35
  6. Step 6: Final answer
    x = 7,286.25

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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.