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Finding the Fourth Proportional to 11,811.50, 17,717.19 and 3,046.40

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Solution

The fourth proportional to 11,811.50, 17,717.19 and 3,046.40 is: 4,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.50 : 17,717.19 = 3,046.40 : x
  2. Step 2: Convert to fraction form
    11,811.50/17,717.19 = 3,046.40/x
  3. Step 3: Cross multiply
    11,811.50x = 17,717.19 × 3,046.40
  4. Step 4: Simplify right side
    11,811.50x = 53,973,647.62
  5. Step 5: Solve for x
    x = 53,973,647.62/11,811.50
  6. Step 6: Final answer
    x = 4,569.58

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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.