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Finding the Fourth Proportional to 12,160.97, 16,782.14 and 6,571.97

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Solution

The fourth proportional to 12,160.97, 16,782.14 and 6,571.97 is: 9,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.97 : 16,782.14 = 6,571.97 : x
  2. Step 2: Convert to fraction form
    12,160.97/16,782.14 = 6,571.97/x
  3. Step 3: Cross multiply
    12,160.97x = 16,782.14 × 6,571.97
  4. Step 4: Simplify right side
    12,160.97x = 110,291,679.10
  5. Step 5: Solve for x
    x = 110,291,679.10/12,160.97
  6. Step 6: Final answer
    x = 9,069.32

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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.