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Finding the Fourth Proportional to 11,684.60, 17,527.08 and 3,894.02

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Solution

The fourth proportional to 11,684.60, 17,527.08 and 3,894.02 is: 5,841.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.60 : 17,527.08 = 3,894.02 : x
  2. Step 2: Convert to fraction form
    11,684.60/17,527.08 = 3,894.02/x
  3. Step 3: Cross multiply
    11,684.60x = 17,527.08 × 3,894.02
  4. Step 4: Simplify right side
    11,684.60x = 68,250,800.06
  5. Step 5: Solve for x
    x = 68,250,800.06/11,684.60
  6. Step 6: Final answer
    x = 5,841.09

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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.