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Finding the Fourth Proportional to 11,384.70, 17,076.09 and 6,438.78

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Solution

The fourth proportional to 11,384.70, 17,076.09 and 6,438.78 is: 9,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.70 : 17,076.09 = 6,438.78 : x
  2. Step 2: Convert to fraction form
    11,384.70/17,076.09 = 6,438.78/x
  3. Step 3: Cross multiply
    11,384.70x = 17,076.09 × 6,438.78
  4. Step 4: Simplify right side
    11,384.70x = 109,949,186.77
  5. Step 5: Solve for x
    x = 109,949,186.77/11,384.70
  6. Step 6: Final answer
    x = 9,657.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.