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Finding the Fourth Proportional to 11,234.56, 16,854.24 and 4,309

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Solution

The fourth proportional to 11,234.56, 16,854.24 and 4,309 is: 6,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.56 : 16,854.24 = 4,309 : x
  2. Step 2: Convert to fraction form
    11,234.56/16,854.24 = 4,309/x
  3. Step 3: Cross multiply
    11,234.56x = 16,854.24 × 4,309
  4. Step 4: Simplify right side
    11,234.56x = 72,624,920.16
  5. Step 5: Solve for x
    x = 72,624,920.16/11,234.56
  6. Step 6: Final answer
    x = 6,464.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.