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Finding the Fourth Proportional to 11,860.50, 17,759.16 and 7,688.46

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Solution

The fourth proportional to 11,860.50, 17,759.16 and 7,688.46 is: 11,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.50 : 17,759.16 = 7,688.46 : x
  2. Step 2: Convert to fraction form
    11,860.50/17,759.16 = 7,688.46/x
  3. Step 3: Cross multiply
    11,860.50x = 17,759.16 × 7,688.46
  4. Step 4: Simplify right side
    11,860.50x = 136,540,591.29
  5. Step 5: Solve for x
    x = 136,540,591.29/11,860.50
  6. Step 6: Final answer
    x = 11,512.21

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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.