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Finding the Fourth Proportional to 10,628.32, 16,004.22 and 7,874.52

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Solution

The fourth proportional to 10,628.32, 16,004.22 and 7,874.52 is: 11,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628.32 : 16,004.22 = 7,874.52 : x
  2. Step 2: Convert to fraction form
    10,628.32/16,004.22 = 7,874.52/x
  3. Step 3: Cross multiply
    10,628.32x = 16,004.22 × 7,874.52
  4. Step 4: Simplify right side
    10,628.32x = 126,025,550.47
  5. Step 5: Solve for x
    x = 126,025,550.47/10,628.32
  6. Step 6: Final answer
    x = 11,857.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.