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Finding the Fourth Proportional to 11,871.62, 16,382.80 and 6,834

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Solution

The fourth proportional to 11,871.62, 16,382.80 and 6,834 is: 9,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.62 : 16,382.80 = 6,834 : x
  2. Step 2: Convert to fraction form
    11,871.62/16,382.80 = 6,834/x
  3. Step 3: Cross multiply
    11,871.62x = 16,382.80 × 6,834
  4. Step 4: Simplify right side
    11,871.62x = 111,960,038.12
  5. Step 5: Solve for x
    x = 111,960,038.12/11,871.62
  6. Step 6: Final answer
    x = 9,430.90

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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.