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Finding the Fourth Proportional to 11,816.72, 16,307.04 and 6,511.88

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Solution

The fourth proportional to 11,816.72, 16,307.04 and 6,511.88 is: 8,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.72 : 16,307.04 = 6,511.88 : x
  2. Step 2: Convert to fraction form
    11,816.72/16,307.04 = 6,511.88/x
  3. Step 3: Cross multiply
    11,816.72x = 16,307.04 × 6,511.88
  4. Step 4: Simplify right side
    11,816.72x = 106,189,487.64
  5. Step 5: Solve for x
    x = 106,189,487.64/11,816.72
  6. Step 6: Final answer
    x = 8,986.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.