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Finding the Fourth Proportional to 8,295.28, 11,458.68 and 6,628.38

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Solution

The fourth proportional to 8,295.28, 11,458.68 and 6,628.38 is: 9,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.28 : 11,458.68 = 6,628.38 : x
  2. Step 2: Convert to fraction form
    8,295.28/11,458.68 = 6,628.38/x
  3. Step 3: Cross multiply
    8,295.28x = 11,458.68 × 6,628.38
  4. Step 4: Simplify right side
    8,295.28x = 75,952,519.25
  5. Step 5: Solve for x
    x = 75,952,519.25/8,295.28
  6. Step 6: Final answer
    x = 9,156.12

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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.