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Finding the Fourth Proportional to 11,816.56, 16,306.12 and 6,511.08

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Solution

The fourth proportional to 11,816.56, 16,306.12 and 6,511.08 is: 8,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.56 : 16,306.12 = 6,511.08 : x
  2. Step 2: Convert to fraction form
    11,816.56/16,306.12 = 6,511.08/x
  3. Step 3: Cross multiply
    11,816.56x = 16,306.12 × 6,511.08
  4. Step 4: Simplify right side
    11,816.56x = 106,170,451.81
  5. Step 5: Solve for x
    x = 106,170,451.81/11,816.56
  6. Step 6: Final answer
    x = 8,984.89

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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.