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Finding the Fourth Proportional to 12,107.15, 16,707.11 and 7,072.80

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Solution

The fourth proportional to 12,107.15, 16,707.11 and 7,072.80 is: 9,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.15 : 16,707.11 = 7,072.80 : x
  2. Step 2: Convert to fraction form
    12,107.15/16,707.11 = 7,072.80/x
  3. Step 3: Cross multiply
    12,107.15x = 16,707.11 × 7,072.80
  4. Step 4: Simplify right side
    12,107.15x = 118,166,012.24
  5. Step 5: Solve for x
    x = 118,166,012.24/12,107.15
  6. Step 6: Final answer
    x = 9,760.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.