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Finding the Fourth Proportional to 11,103.86, 16,654.62 and 3,707.50

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Solution

The fourth proportional to 11,103.86, 16,654.62 and 3,707.50 is: 5,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103.86 : 16,654.62 = 3,707.50 : x
  2. Step 2: Convert to fraction form
    11,103.86/16,654.62 = 3,707.50/x
  3. Step 3: Cross multiply
    11,103.86x = 16,654.62 × 3,707.50
  4. Step 4: Simplify right side
    11,103.86x = 61,747,003.65
  5. Step 5: Solve for x
    x = 61,747,003.65/11,103.86
  6. Step 6: Final answer
    x = 5,560.86

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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.