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Finding the Fourth Proportional to 8,829.50, 13,212.72 and 7,673.18

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Solution

The fourth proportional to 8,829.50, 13,212.72 and 7,673.18 is: 11,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.50 : 13,212.72 = 7,673.18 : x
  2. Step 2: Convert to fraction form
    8,829.50/13,212.72 = 7,673.18/x
  3. Step 3: Cross multiply
    8,829.50x = 13,212.72 × 7,673.18
  4. Step 4: Simplify right side
    8,829.50x = 101,383,512.79
  5. Step 5: Solve for x
    x = 101,383,512.79/8,829.50
  6. Step 6: Final answer
    x = 11,482.37

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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.