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Finding the Fourth Proportional to 10,682.62, 16,017.69 and 7,176.70

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Solution

The fourth proportional to 10,682.62, 16,017.69 and 7,176.70 is: 10,760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.62 : 16,017.69 = 7,176.70 : x
  2. Step 2: Convert to fraction form
    10,682.62/16,017.69 = 7,176.70/x
  3. Step 3: Cross multiply
    10,682.62x = 16,017.69 × 7,176.70
  4. Step 4: Simplify right side
    10,682.62x = 114,954,155.82
  5. Step 5: Solve for x
    x = 114,954,155.82/10,682.62
  6. Step 6: Final answer
    x = 10,760.86

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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.