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Finding the Fourth Proportional to 11,823.28, 16,316.24 and 6,518.28

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Solution

The fourth proportional to 11,823.28, 16,316.24 and 6,518.28 is: 8,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.28 : 16,316.24 = 6,518.28 : x
  2. Step 2: Convert to fraction form
    11,823.28/16,316.24 = 6,518.28/x
  3. Step 3: Cross multiply
    11,823.28x = 16,316.24 × 6,518.28
  4. Step 4: Simplify right side
    11,823.28x = 106,353,873.91
  5. Step 5: Solve for x
    x = 106,353,873.91/11,823.28
  6. Step 6: Final answer
    x = 8,995.30

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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.