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Finding the Fourth Proportional to 11,309.54, 16,964.10 and 4,644.59

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Solution

The fourth proportional to 11,309.54, 16,964.10 and 4,644.59 is: 6,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.54 : 16,964.10 = 4,644.59 : x
  2. Step 2: Convert to fraction form
    11,309.54/16,964.10 = 4,644.59/x
  3. Step 3: Cross multiply
    11,309.54x = 16,964.10 × 4,644.59
  4. Step 4: Simplify right side
    11,309.54x = 78,791,204.40
  5. Step 5: Solve for x
    x = 78,791,204.40/11,309.54
  6. Step 6: Final answer
    x = 6,966.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.