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Finding the Fourth Proportional to 12,057.57, 16,638.24 and 6,752.27

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Solution

The fourth proportional to 12,057.57, 16,638.24 and 6,752.27 is: 9,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.57 : 16,638.24 = 6,752.27 : x
  2. Step 2: Convert to fraction form
    12,057.57/16,638.24 = 6,752.27/x
  3. Step 3: Cross multiply
    12,057.57x = 16,638.24 × 6,752.27
  4. Step 4: Simplify right side
    12,057.57x = 112,345,955.72
  5. Step 5: Solve for x
    x = 112,345,955.72/12,057.57
  6. Step 6: Final answer
    x = 9,317.46

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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.