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Finding the Fourth Proportional to 11,874.60, 17,809.47 and 4,084.02

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Solution

The fourth proportional to 11,874.60, 17,809.47 and 4,084.02 is: 6,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.60 : 17,809.47 = 4,084.02 : x
  2. Step 2: Convert to fraction form
    11,874.60/17,809.47 = 4,084.02/x
  3. Step 3: Cross multiply
    11,874.60x = 17,809.47 × 4,084.02
  4. Step 4: Simplify right side
    11,874.60x = 72,734,231.67
  5. Step 5: Solve for x
    x = 72,734,231.67/11,874.60
  6. Step 6: Final answer
    x = 6,125.19

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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.