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Finding the Fourth Proportional to 11,234, 16,853.44 and 4,308.50

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Solution

The fourth proportional to 11,234, 16,853.44 and 4,308.50 is: 6,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234 : 16,853.44 = 4,308.50 : x
  2. Step 2: Convert to fraction form
    11,234/16,853.44 = 4,308.50/x
  3. Step 3: Cross multiply
    11,234x = 16,853.44 × 4,308.50
  4. Step 4: Simplify right side
    11,234x = 72,613,046.24
  5. Step 5: Solve for x
    x = 72,613,046.24/11,234
  6. Step 6: Final answer
    x = 6,463.69

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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.