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Finding the Fourth Proportional to 11,764.60, 16,234.94 and 6,459.38

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Solution

The fourth proportional to 11,764.60, 16,234.94 and 6,459.38 is: 8,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.60 : 16,234.94 = 6,459.38 : x
  2. Step 2: Convert to fraction form
    11,764.60/16,234.94 = 6,459.38/x
  3. Step 3: Cross multiply
    11,764.60x = 16,234.94 × 6,459.38
  4. Step 4: Simplify right side
    11,764.60x = 104,867,581.71
  5. Step 5: Solve for x
    x = 104,867,581.71/11,764.60
  6. Step 6: Final answer
    x = 8,913.82

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Why These Related Problems?

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