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Finding the Fourth Proportional to 8,535.68, 11,786.51 and 5,354.33

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Solution

The fourth proportional to 8,535.68, 11,786.51 and 5,354.33 is: 7,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.68 : 11,786.51 = 5,354.33 : x
  2. Step 2: Convert to fraction form
    8,535.68/11,786.51 = 5,354.33/x
  3. Step 3: Cross multiply
    8,535.68x = 11,786.51 × 5,354.33
  4. Step 4: Simplify right side
    8,535.68x = 63,108,778.38
  5. Step 5: Solve for x
    x = 63,108,778.38/8,535.68
  6. Step 6: Final answer
    x = 7,393.53

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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.