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Finding the Fourth Proportional to 12,107.85, 16,710.90 and 7,072.66

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Solution

The fourth proportional to 12,107.85, 16,710.90 and 7,072.66 is: 9,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.85 : 16,710.90 = 7,072.66 : x
  2. Step 2: Convert to fraction form
    12,107.85/16,710.90 = 7,072.66/x
  3. Step 3: Cross multiply
    12,107.85x = 16,710.90 × 7,072.66
  4. Step 4: Simplify right side
    12,107.85x = 118,190,513.99
  5. Step 5: Solve for x
    x = 118,190,513.99/12,107.85
  6. Step 6: Final answer
    x = 9,761.48

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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.