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Finding the Fourth Proportional to 11,029, 16,532.56 and 6,100.96

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Solution

The fourth proportional to 11,029, 16,532.56 and 6,100.96 is: 9,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029 : 16,532.56 = 6,100.96 : x
  2. Step 2: Convert to fraction form
    11,029/16,532.56 = 6,100.96/x
  3. Step 3: Cross multiply
    11,029x = 16,532.56 × 6,100.96
  4. Step 4: Simplify right side
    11,029x = 100,864,487.26
  5. Step 5: Solve for x
    x = 100,864,487.26/11,029
  6. Step 6: Final answer
    x = 9,145.39

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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.