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Finding the Fourth Proportional to 10,660.57, 16,004.76 and 7,166.23

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Solution

The fourth proportional to 10,660.57, 16,004.76 and 7,166.23 is: 10,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.57 : 16,004.76 = 7,166.23 : x
  2. Step 2: Convert to fraction form
    10,660.57/16,004.76 = 7,166.23/x
  3. Step 3: Cross multiply
    10,660.57x = 16,004.76 × 7,166.23
  4. Step 4: Simplify right side
    10,660.57x = 114,693,791.25
  5. Step 5: Solve for x
    x = 114,693,791.25/10,660.57
  6. Step 6: Final answer
    x = 10,758.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.