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Finding the Fourth Proportional to 11,684.75, 17,527.16 and 2,919.66

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Solution

The fourth proportional to 11,684.75, 17,527.16 and 2,919.66 is: 4,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.75 : 17,527.16 = 2,919.66 : x
  2. Step 2: Convert to fraction form
    11,684.75/17,527.16 = 2,919.66/x
  3. Step 3: Cross multiply
    11,684.75x = 17,527.16 × 2,919.66
  4. Step 4: Simplify right side
    11,684.75x = 51,173,347.97
  5. Step 5: Solve for x
    x = 51,173,347.97/11,684.75
  6. Step 6: Final answer
    x = 4,379.50

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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.