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Finding the Fourth Proportional to 11,628.84, 16,047.72 and 6,323.88

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Solution

The fourth proportional to 11,628.84, 16,047.72 and 6,323.88 is: 8,726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.84 : 16,047.72 = 6,323.88 : x
  2. Step 2: Convert to fraction form
    11,628.84/16,047.72 = 6,323.88/x
  3. Step 3: Cross multiply
    11,628.84x = 16,047.72 × 6,323.88
  4. Step 4: Simplify right side
    11,628.84x = 101,483,855.55
  5. Step 5: Solve for x
    x = 101,483,855.55/11,628.84
  6. Step 6: Final answer
    x = 8,726.91

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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.