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Finding the Fourth Proportional to 11,149.77, 16,723.26 and 6,472.34

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Solution

The fourth proportional to 11,149.77, 16,723.26 and 6,472.34 is: 9,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.77 : 16,723.26 = 6,472.34 : x
  2. Step 2: Convert to fraction form
    11,149.77/16,723.26 = 6,472.34/x
  3. Step 3: Cross multiply
    11,149.77x = 16,723.26 × 6,472.34
  4. Step 4: Simplify right side
    11,149.77x = 108,238,541.01
  5. Step 5: Solve for x
    x = 108,238,541.01/11,149.77
  6. Step 6: Final answer
    x = 9,707.69

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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.