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Finding the Fourth Proportional to 11,337.86, 16,994.64 and 5,486.42

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Solution

The fourth proportional to 11,337.86, 16,994.64 and 5,486.42 is: 8,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.86 : 16,994.64 = 5,486.42 : x
  2. Step 2: Convert to fraction form
    11,337.86/16,994.64 = 5,486.42/x
  3. Step 3: Cross multiply
    11,337.86x = 16,994.64 × 5,486.42
  4. Step 4: Simplify right side
    11,337.86x = 93,239,732.79
  5. Step 5: Solve for x
    x = 93,239,732.79/11,337.86
  6. Step 6: Final answer
    x = 8,223.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.