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Finding the Fourth Proportional to 10,660.86, 14,709.12 and 6,882.81

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Solution

The fourth proportional to 10,660.86, 14,709.12 and 6,882.81 is: 9,496.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.86 : 14,709.12 = 6,882.81 : x
  2. Step 2: Convert to fraction form
    10,660.86/14,709.12 = 6,882.81/x
  3. Step 3: Cross multiply
    10,660.86x = 14,709.12 × 6,882.81
  4. Step 4: Simplify right side
    10,660.86x = 101,240,078.23
  5. Step 5: Solve for x
    x = 101,240,078.23/10,660.86
  6. Step 6: Final answer
    x = 9,496.43

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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.