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Finding the Fourth Proportional to 11,666.74, 16,100.10 and 6,361.56

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Solution

The fourth proportional to 11,666.74, 16,100.10 and 6,361.56 is: 8,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.74 : 16,100.10 = 6,361.56 : x
  2. Step 2: Convert to fraction form
    11,666.74/16,100.10 = 6,361.56/x
  3. Step 3: Cross multiply
    11,666.74x = 16,100.10 × 6,361.56
  4. Step 4: Simplify right side
    11,666.74x = 102,421,752.16
  5. Step 5: Solve for x
    x = 102,421,752.16/11,666.74
  6. Step 6: Final answer
    x = 8,778.95

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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.