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Finding the Fourth Proportional to 11,816.79, 16,307.27 and 6,511.79

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Solution

The fourth proportional to 11,816.79, 16,307.27 and 6,511.79 is: 8,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.79 : 16,307.27 = 6,511.79 : x
  2. Step 2: Convert to fraction form
    11,816.79/16,307.27 = 6,511.79/x
  3. Step 3: Cross multiply
    11,816.79x = 16,307.27 × 6,511.79
  4. Step 4: Simplify right side
    11,816.79x = 106,189,586.97
  5. Step 5: Solve for x
    x = 106,189,586.97/11,816.79
  6. Step 6: Final answer
    x = 8,986.33

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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.