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Finding the Fourth Proportional to 11,666.92, 16,100.23 and 6,361.63

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Solution

The fourth proportional to 11,666.92, 16,100.23 and 6,361.63 is: 8,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.92 : 16,100.23 = 6,361.63 : x
  2. Step 2: Convert to fraction form
    11,666.92/16,100.23 = 6,361.63/x
  3. Step 3: Cross multiply
    11,666.92x = 16,100.23 × 6,361.63
  4. Step 4: Simplify right side
    11,666.92x = 102,423,706.17
  5. Step 5: Solve for x
    x = 102,423,706.17/11,666.92
  6. Step 6: Final answer
    x = 8,778.98

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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.