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Finding the Fourth Proportional to 11,735.71, 17,600.49 and 4,342.30

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Solution

The fourth proportional to 11,735.71, 17,600.49 and 4,342.30 is: 6,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.71 : 17,600.49 = 4,342.30 : x
  2. Step 2: Convert to fraction form
    11,735.71/17,600.49 = 4,342.30/x
  3. Step 3: Cross multiply
    11,735.71x = 17,600.49 × 4,342.30
  4. Step 4: Simplify right side
    11,735.71x = 76,426,607.73
  5. Step 5: Solve for x
    x = 76,426,607.73/11,735.71
  6. Step 6: Final answer
    x = 6,512.31

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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.