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Finding the Fourth Proportional to 11,753.91, 16,228.00 and 7,282.41

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Solution

The fourth proportional to 11,753.91, 16,228.00 and 7,282.41 is: 10,054.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.91 : 16,228.00 = 7,282.41 : x
  2. Step 2: Convert to fraction form
    11,753.91/16,228.00 = 7,282.41/x
  3. Step 3: Cross multiply
    11,753.91x = 16,228.00 × 7,282.41
  4. Step 4: Simplify right side
    11,753.91x = 118,178,856.76
  5. Step 5: Solve for x
    x = 118,178,856.76/11,753.91
  6. Step 6: Final answer
    x = 10,054.43

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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.