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Finding the Fourth Proportional to 11,323.50, 16,978.62 and 3,423.66

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Solution

The fourth proportional to 11,323.50, 16,978.62 and 3,423.66 is: 5,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.50 : 16,978.62 = 3,423.66 : x
  2. Step 2: Convert to fraction form
    11,323.50/16,978.62 = 3,423.66/x
  3. Step 3: Cross multiply
    11,323.50x = 16,978.62 × 3,423.66
  4. Step 4: Simplify right side
    11,323.50x = 58,129,022.15
  5. Step 5: Solve for x
    x = 58,129,022.15/11,323.50
  6. Step 6: Final answer
    x = 5,133.49

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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.