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Finding the Fourth Proportional to 11,805.38, 16,291.10 and 6,500.22

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Solution

The fourth proportional to 11,805.38, 16,291.10 and 6,500.22 is: 8,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.38 : 16,291.10 = 6,500.22 : x
  2. Step 2: Convert to fraction form
    11,805.38/16,291.10 = 6,500.22/x
  3. Step 3: Cross multiply
    11,805.38x = 16,291.10 × 6,500.22
  4. Step 4: Simplify right side
    11,805.38x = 105,895,701.54
  5. Step 5: Solve for x
    x = 105,895,701.54/11,805.38
  6. Step 6: Final answer
    x = 8,970.13

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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.