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Finding the Fourth Proportional to 6,908.88, 10,382.76 and 6,733.92

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Solution

The fourth proportional to 6,908.88, 10,382.76 and 6,733.92 is: 10,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.88 : 10,382.76 = 6,733.92 : x
  2. Step 2: Convert to fraction form
    6,908.88/10,382.76 = 6,733.92/x
  3. Step 3: Cross multiply
    6,908.88x = 10,382.76 × 6,733.92
  4. Step 4: Simplify right side
    6,908.88x = 69,916,675.22
  5. Step 5: Solve for x
    x = 69,916,675.22/6,908.88
  6. Step 6: Final answer
    x = 10,119.83

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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.