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Finding the Fourth Proportional to 11,937, 16,473.06 and 8,217.48

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Solution

The fourth proportional to 11,937, 16,473.06 and 8,217.48 is: 11,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937 : 16,473.06 = 8,217.48 : x
  2. Step 2: Convert to fraction form
    11,937/16,473.06 = 8,217.48/x
  3. Step 3: Cross multiply
    11,937x = 16,473.06 × 8,217.48
  4. Step 4: Simplify right side
    11,937x = 135,367,041.09
  5. Step 5: Solve for x
    x = 135,367,041.09/11,937
  6. Step 6: Final answer
    x = 11,340.12

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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.