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Finding the Fourth Proportional to 11,764.22, 16,234.74 and 6,459.08

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Solution

The fourth proportional to 11,764.22, 16,234.74 and 6,459.08 is: 8,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.22 : 16,234.74 = 6,459.08 : x
  2. Step 2: Convert to fraction form
    11,764.22/16,234.74 = 6,459.08/x
  3. Step 3: Cross multiply
    11,764.22x = 16,234.74 × 6,459.08
  4. Step 4: Simplify right side
    11,764.22x = 104,861,403.27
  5. Step 5: Solve for x
    x = 104,861,403.27/11,764.22
  6. Step 6: Final answer
    x = 8,913.59

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