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Finding the Fourth Proportional to 8,633.75, 11,913.66 and 5,277.38

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Solution

The fourth proportional to 8,633.75, 11,913.66 and 5,277.38 is: 7,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.75 : 11,913.66 = 5,277.38 : x
  2. Step 2: Convert to fraction form
    8,633.75/11,913.66 = 5,277.38/x
  3. Step 3: Cross multiply
    8,633.75x = 11,913.66 × 5,277.38
  4. Step 4: Simplify right side
    8,633.75x = 62,872,851.44
  5. Step 5: Solve for x
    x = 62,872,851.44/8,633.75
  6. Step 6: Final answer
    x = 7,282.22

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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.