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Finding the Fourth Proportional to 11,249.86, 16,810.77 and 8,420.38

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Solution

The fourth proportional to 11,249.86, 16,810.77 and 8,420.38 is: 12,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.86 : 16,810.77 = 8,420.38 : x
  2. Step 2: Convert to fraction form
    11,249.86/16,810.77 = 8,420.38/x
  3. Step 3: Cross multiply
    11,249.86x = 16,810.77 × 8,420.38
  4. Step 4: Simplify right side
    11,249.86x = 141,553,071.49
  5. Step 5: Solve for x
    x = 141,553,071.49/11,249.86
  6. Step 6: Final answer
    x = 12,582.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.