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Finding the Fourth Proportional to 12,882.87, 17,778.60 and 7,847.28

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Solution

The fourth proportional to 12,882.87, 17,778.60 and 7,847.28 is: 10,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.87 : 17,778.60 = 7,847.28 : x
  2. Step 2: Convert to fraction form
    12,882.87/17,778.60 = 7,847.28/x
  3. Step 3: Cross multiply
    12,882.87x = 17,778.60 × 7,847.28
  4. Step 4: Simplify right side
    12,882.87x = 139,513,652.21
  5. Step 5: Solve for x
    x = 139,513,652.21/12,882.87
  6. Step 6: Final answer
    x = 10,829.39

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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.