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Finding the Fourth Proportional to 10,383.63, 14,331.02 and 6,194.31

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Solution

The fourth proportional to 10,383.63, 14,331.02 and 6,194.31 is: 8,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.63 : 14,331.02 = 6,194.31 : x
  2. Step 2: Convert to fraction form
    10,383.63/14,331.02 = 6,194.31/x
  3. Step 3: Cross multiply
    10,383.63x = 14,331.02 × 6,194.31
  4. Step 4: Simplify right side
    10,383.63x = 88,770,780.50
  5. Step 5: Solve for x
    x = 88,770,780.50/10,383.63
  6. Step 6: Final answer
    x = 8,549.11

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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.