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Finding the Fourth Proportional to 11,670.37, 16,104.47 and 6,633.88

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Solution

The fourth proportional to 11,670.37, 16,104.47 and 6,633.88 is: 9,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.37 : 16,104.47 = 6,633.88 : x
  2. Step 2: Convert to fraction form
    11,670.37/16,104.47 = 6,633.88/x
  3. Step 3: Cross multiply
    11,670.37x = 16,104.47 × 6,633.88
  4. Step 4: Simplify right side
    11,670.37x = 106,835,048.01
  5. Step 5: Solve for x
    x = 106,835,048.01/11,670.37
  6. Step 6: Final answer
    x = 9,154.39

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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.