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Finding the Fourth Proportional to 10,704.72, 16,016.76 and 7,424.16

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Solution

The fourth proportional to 10,704.72, 16,016.76 and 7,424.16 is: 11,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.72 : 16,016.76 = 7,424.16 : x
  2. Step 2: Convert to fraction form
    10,704.72/16,016.76 = 7,424.16/x
  3. Step 3: Cross multiply
    10,704.72x = 16,016.76 × 7,424.16
  4. Step 4: Simplify right side
    10,704.72x = 118,910,988.92
  5. Step 5: Solve for x
    x = 118,910,988.92/10,704.72
  6. Step 6: Final answer
    x = 11,108.28

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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.