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Finding the Fourth Proportional to 11,764.05, 16,233.90 and 6,458.99

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Solution

The fourth proportional to 11,764.05, 16,233.90 and 6,458.99 is: 8,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.05 : 16,233.90 = 6,458.99 : x
  2. Step 2: Convert to fraction form
    11,764.05/16,233.90 = 6,458.99/x
  3. Step 3: Cross multiply
    11,764.05x = 16,233.90 × 6,458.99
  4. Step 4: Simplify right side
    11,764.05x = 104,854,516.59
  5. Step 5: Solve for x
    x = 104,854,516.59/11,764.05
  6. Step 6: Final answer
    x = 8,913.13

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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.