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Finding the Fourth Proportional to 6,959.91, 10,428.92 and 5,382.49

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Solution

The fourth proportional to 6,959.91, 10,428.92 and 5,382.49 is: 8,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.91 : 10,428.92 = 5,382.49 : x
  2. Step 2: Convert to fraction form
    6,959.91/10,428.92 = 5,382.49/x
  3. Step 3: Cross multiply
    6,959.91x = 10,428.92 × 5,382.49
  4. Step 4: Simplify right side
    6,959.91x = 56,133,563.50
  5. Step 5: Solve for x
    x = 56,133,563.50/6,959.91
  6. Step 6: Final answer
    x = 8,065.27

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Why These Related Problems?

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