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Finding the Fourth Proportional to 8,001.76, 11,995.37 and 2,804.80

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Solution

The fourth proportional to 8,001.76, 11,995.37 and 2,804.80 is: 4,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.76 : 11,995.37 = 2,804.80 : x
  2. Step 2: Convert to fraction form
    8,001.76/11,995.37 = 2,804.80/x
  3. Step 3: Cross multiply
    8,001.76x = 11,995.37 × 2,804.80
  4. Step 4: Simplify right side
    8,001.76x = 33,644,560.81
  5. Step 5: Solve for x
    x = 33,644,560.81/8,001.76
  6. Step 6: Final answer
    x = 4,204.65

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1.5x scale

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.