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Finding the Fourth Proportional to 11,125.50, 16,691.58 and 6,444.42

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Solution

The fourth proportional to 11,125.50, 16,691.58 and 6,444.42 is: 9,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,125.50 : 16,691.58 = 6,444.42 : x
  2. Step 2: Convert to fraction form
    11,125.50/16,691.58 = 6,444.42/x
  3. Step 3: Cross multiply
    11,125.50x = 16,691.58 × 6,444.42
  4. Step 4: Simplify right side
    11,125.50x = 107,567,551.98
  5. Step 5: Solve for x
    x = 107,567,551.98/11,125.50
  6. Step 6: Final answer
    x = 9,668.56

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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.