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Finding the Fourth Proportional to 8,662.80, 12,969.90 and 8,662.80

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Solution

The fourth proportional to 8,662.80, 12,969.90 and 8,662.80 is: 12,969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.80 : 12,969.90 = 8,662.80 : x
  2. Step 2: Convert to fraction form
    8,662.80/12,969.90 = 8,662.80/x
  3. Step 3: Cross multiply
    8,662.80x = 12,969.90 × 8,662.80
  4. Step 4: Simplify right side
    8,662.80x = 112,355,649.72
  5. Step 5: Solve for x
    x = 112,355,649.72/8,662.80
  6. Step 6: Final answer
    x = 12,969.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.