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Finding the Fourth Proportional to 11,937.68, 16,472.04 and 7,462.16

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Solution

The fourth proportional to 11,937.68, 16,472.04 and 7,462.16 is: 10,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.68 : 16,472.04 = 7,462.16 : x
  2. Step 2: Convert to fraction form
    11,937.68/16,472.04 = 7,462.16/x
  3. Step 3: Cross multiply
    11,937.68x = 16,472.04 × 7,462.16
  4. Step 4: Simplify right side
    11,937.68x = 122,916,998.01
  5. Step 5: Solve for x
    x = 122,916,998.01/11,937.68
  6. Step 6: Final answer
    x = 10,296.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.