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Finding the Fourth Proportional to 8,177.67, 11,284.84 and 4,641.07

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Solution

The fourth proportional to 8,177.67, 11,284.84 and 4,641.07 is: 6,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.67 : 11,284.84 = 4,641.07 : x
  2. Step 2: Convert to fraction form
    8,177.67/11,284.84 = 4,641.07/x
  3. Step 3: Cross multiply
    8,177.67x = 11,284.84 × 4,641.07
  4. Step 4: Simplify right side
    8,177.67x = 52,373,732.38
  5. Step 5: Solve for x
    x = 52,373,732.38/8,177.67
  6. Step 6: Final answer
    x = 6,404.48

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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.