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Finding the Fourth Proportional to 11,644.69, 17,468.78 and 5,405.34

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Solution

The fourth proportional to 11,644.69, 17,468.78 and 5,405.34 is: 8,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.69 : 17,468.78 = 5,405.34 : x
  2. Step 2: Convert to fraction form
    11,644.69/17,468.78 = 5,405.34/x
  3. Step 3: Cross multiply
    11,644.69x = 17,468.78 × 5,405.34
  4. Step 4: Simplify right side
    11,644.69x = 94,424,695.29
  5. Step 5: Solve for x
    x = 94,424,695.29/11,644.69
  6. Step 6: Final answer
    x = 8,108.82

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