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Finding the Fourth Proportional to 11,816.73, 16,307.08 and 6,511.66

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Solution

The fourth proportional to 11,816.73, 16,307.08 and 6,511.66 is: 8,986.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.73 : 16,307.08 = 6,511.66 : x
  2. Step 2: Convert to fraction form
    11,816.73/16,307.08 = 6,511.66/x
  3. Step 3: Cross multiply
    11,816.73x = 16,307.08 × 6,511.66
  4. Step 4: Simplify right side
    11,816.73x = 106,186,160.55
  5. Step 5: Solve for x
    x = 106,186,160.55/11,816.73
  6. Step 6: Final answer
    x = 8,986.09

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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.