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Finding the Fourth Proportional to 11,976.10, 16,527 and 6,671.38

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Solution

The fourth proportional to 11,976.10, 16,527 and 6,671.38 is: 9,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.10 : 16,527 = 6,671.38 : x
  2. Step 2: Convert to fraction form
    11,976.10/16,527 = 6,671.38/x
  3. Step 3: Cross multiply
    11,976.10x = 16,527 × 6,671.38
  4. Step 4: Simplify right side
    11,976.10x = 110,257,897.26
  5. Step 5: Solve for x
    x = 110,257,897.26/11,976.10
  6. Step 6: Final answer
    x = 9,206.49

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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.