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Finding the Fourth Proportional to 11,379.80, 17,065.05 and 6,709.14

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Solution

The fourth proportional to 11,379.80, 17,065.05 and 6,709.14 is: 10,060.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379.80 : 17,065.05 = 6,709.14 : x
  2. Step 2: Convert to fraction form
    11,379.80/17,065.05 = 6,709.14/x
  3. Step 3: Cross multiply
    11,379.80x = 17,065.05 × 6,709.14
  4. Step 4: Simplify right side
    11,379.80x = 114,491,784.40
  5. Step 5: Solve for x
    x = 114,491,784.40/11,379.80
  6. Step 6: Final answer
    x = 10,060.96

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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.