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Finding the Fourth Proportional to 11,764.87, 16,235.78 and 6,459.71

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Solution

The fourth proportional to 11,764.87, 16,235.78 and 6,459.71 is: 8,914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.87 : 16,235.78 = 6,459.71 : x
  2. Step 2: Convert to fraction form
    11,764.87/16,235.78 = 6,459.71/x
  3. Step 3: Cross multiply
    11,764.87x = 16,235.78 × 6,459.71
  4. Step 4: Simplify right side
    11,764.87x = 104,878,405.98
  5. Step 5: Solve for x
    x = 104,878,405.98/11,764.87
  6. Step 6: Final answer
    x = 8,914.54

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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.