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Finding the Fourth Proportional to 11,031.65, 16,538.17 and 4,786.96

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Solution

The fourth proportional to 11,031.65, 16,538.17 and 4,786.96 is: 7,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.65 : 16,538.17 = 4,786.96 : x
  2. Step 2: Convert to fraction form
    11,031.65/16,538.17 = 4,786.96/x
  3. Step 3: Cross multiply
    11,031.65x = 16,538.17 × 4,786.96
  4. Step 4: Simplify right side
    11,031.65x = 79,167,451.64
  5. Step 5: Solve for x
    x = 79,167,451.64/11,031.65
  6. Step 6: Final answer
    x = 7,176.39

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