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Finding the Fourth Proportional to 8,567.27, 11,822.78 and 4,980.95

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Solution

The fourth proportional to 8,567.27, 11,822.78 and 4,980.95 is: 6,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.27 : 11,822.78 = 4,980.95 : x
  2. Step 2: Convert to fraction form
    8,567.27/11,822.78 = 4,980.95/x
  3. Step 3: Cross multiply
    8,567.27x = 11,822.78 × 4,980.95
  4. Step 4: Simplify right side
    8,567.27x = 58,888,629.38
  5. Step 5: Solve for x
    x = 58,888,629.38/8,567.27
  6. Step 6: Final answer
    x = 6,873.68

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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.