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Finding the Fourth Proportional to 8,535.33, 11,777.81 and 5,178.96

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Solution

The fourth proportional to 8,535.33, 11,777.81 and 5,178.96 is: 7,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.33 : 11,777.81 = 5,178.96 : x
  2. Step 2: Convert to fraction form
    8,535.33/11,777.81 = 5,178.96/x
  3. Step 3: Cross multiply
    8,535.33x = 11,777.81 × 5,178.96
  4. Step 4: Simplify right side
    8,535.33x = 60,996,780.98
  5. Step 5: Solve for x
    x = 60,996,780.98/8,535.33
  6. Step 6: Final answer
    x = 7,146.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.