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Finding the Fourth Proportional to 7,327.50, 10,991.31 and 1,780.86

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Solution

The fourth proportional to 7,327.50, 10,991.31 and 1,780.86 is: 2,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327.50 : 10,991.31 = 1,780.86 : x
  2. Step 2: Convert to fraction form
    7,327.50/10,991.31 = 1,780.86/x
  3. Step 3: Cross multiply
    7,327.50x = 10,991.31 × 1,780.86
  4. Step 4: Simplify right side
    7,327.50x = 19,573,984.33
  5. Step 5: Solve for x
    x = 19,573,984.33/7,327.50
  6. Step 6: Final answer
    x = 2,671.30

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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.