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Finding the Fourth Proportional to 7,908.28, 10,900.86 and 6,227.02

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Solution

The fourth proportional to 7,908.28, 10,900.86 and 6,227.02 is: 8,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,908.28 : 10,900.86 = 6,227.02 : x
  2. Step 2: Convert to fraction form
    7,908.28/10,900.86 = 6,227.02/x
  3. Step 3: Cross multiply
    7,908.28x = 10,900.86 × 6,227.02
  4. Step 4: Simplify right side
    7,908.28x = 67,879,873.24
  5. Step 5: Solve for x
    x = 67,879,873.24/7,908.28
  6. Step 6: Final answer
    x = 8,583.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.