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Finding the Fourth Proportional to 11,830.92, 16,326.45 and 6,453.41

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Solution

The fourth proportional to 11,830.92, 16,326.45 and 6,453.41 is: 8,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.92 : 16,326.45 = 6,453.41 : x
  2. Step 2: Convert to fraction form
    11,830.92/16,326.45 = 6,453.41/x
  3. Step 3: Cross multiply
    11,830.92x = 16,326.45 × 6,453.41
  4. Step 4: Simplify right side
    11,830.92x = 105,361,194.06
  5. Step 5: Solve for x
    x = 105,361,194.06/11,830.92
  6. Step 6: Final answer
    x = 8,905.58

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