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Finding the Fourth Proportional to 11,828, 16,322.75 and 6,523

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Solution

The fourth proportional to 11,828, 16,322.75 and 6,523 is: 9,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828 : 16,322.75 = 6,523 : x
  2. Step 2: Convert to fraction form
    11,828/16,322.75 = 6,523/x
  3. Step 3: Cross multiply
    11,828x = 16,322.75 × 6,523
  4. Step 4: Simplify right side
    11,828x = 106,473,298.25
  5. Step 5: Solve for x
    x = 106,473,298.25/11,828
  6. Step 6: Final answer
    x = 9,001.80

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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.