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Finding the Fourth Proportional to 11,614.50, 17,423.91 and 5,458.50

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Solution

The fourth proportional to 11,614.50, 17,423.91 and 5,458.50 is: 8,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.50 : 17,423.91 = 5,458.50 : x
  2. Step 2: Convert to fraction form
    11,614.50/17,423.91 = 5,458.50/x
  3. Step 3: Cross multiply
    11,614.50x = 17,423.91 × 5,458.50
  4. Step 4: Simplify right side
    11,614.50x = 95,108,412.74
  5. Step 5: Solve for x
    x = 95,108,412.74/11,614.50
  6. Step 6: Final answer
    x = 8,188.77

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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.