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Finding the Fourth Proportional to 11,905.32, 17,859.42 and 5,745

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Solution

The fourth proportional to 11,905.32, 17,859.42 and 5,745 is: 8,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.32 : 17,859.42 = 5,745 : x
  2. Step 2: Convert to fraction form
    11,905.32/17,859.42 = 5,745/x
  3. Step 3: Cross multiply
    11,905.32x = 17,859.42 × 5,745
  4. Step 4: Simplify right side
    11,905.32x = 102,602,367.90
  5. Step 5: Solve for x
    x = 102,602,367.90/11,905.32
  6. Step 6: Final answer
    x = 8,618.19

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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.