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Finding the Fourth Proportional to 11,234.92, 16,854.54 and 4,308.88

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Solution

The fourth proportional to 11,234.92, 16,854.54 and 4,308.88 is: 6,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.92 : 16,854.54 = 4,308.88 : x
  2. Step 2: Convert to fraction form
    11,234.92/16,854.54 = 4,308.88/x
  3. Step 3: Cross multiply
    11,234.92x = 16,854.54 × 4,308.88
  4. Step 4: Simplify right side
    11,234.92x = 72,624,084.50
  5. Step 5: Solve for x
    x = 72,624,084.50/11,234.92
  6. Step 6: Final answer
    x = 6,464.14

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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.