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Finding the Fourth Proportional to 11,628.96, 16,047.30 and 6,323.77

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Solution

The fourth proportional to 11,628.96, 16,047.30 and 6,323.77 is: 8,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.96 : 16,047.30 = 6,323.77 : x
  2. Step 2: Convert to fraction form
    11,628.96/16,047.30 = 6,323.77/x
  3. Step 3: Cross multiply
    11,628.96x = 16,047.30 × 6,323.77
  4. Step 4: Simplify right side
    11,628.96x = 101,479,434.32
  5. Step 5: Solve for x
    x = 101,479,434.32/11,628.96
  6. Step 6: Final answer
    x = 8,726.44

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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.