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Finding the Fourth Proportional to 12,411.14, 17,127.49 and 6,745.90

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Solution

The fourth proportional to 12,411.14, 17,127.49 and 6,745.90 is: 9,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.14 : 17,127.49 = 6,745.90 : x
  2. Step 2: Convert to fraction form
    12,411.14/17,127.49 = 6,745.90/x
  3. Step 3: Cross multiply
    12,411.14x = 17,127.49 × 6,745.90
  4. Step 4: Simplify right side
    12,411.14x = 115,540,323.28
  5. Step 5: Solve for x
    x = 115,540,323.28/12,411.14
  6. Step 6: Final answer
    x = 9,309.40

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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.