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Finding the Fourth Proportional to 11,145.34, 15,379.86 and 6,108.67

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Solution

The fourth proportional to 11,145.34, 15,379.86 and 6,108.67 is: 8,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.34 : 15,379.86 = 6,108.67 : x
  2. Step 2: Convert to fraction form
    11,145.34/15,379.86 = 6,108.67/x
  3. Step 3: Cross multiply
    11,145.34x = 15,379.86 × 6,108.67
  4. Step 4: Simplify right side
    11,145.34x = 93,950,489.39
  5. Step 5: Solve for x
    x = 93,950,489.39/11,145.34
  6. Step 6: Final answer
    x = 8,429.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.