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Finding the Fourth Proportional to 10,701.92, 14,769.24 and 5,986.64

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Solution

The fourth proportional to 10,701.92, 14,769.24 and 5,986.64 is: 8,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.92 : 14,769.24 = 5,986.64 : x
  2. Step 2: Convert to fraction form
    10,701.92/14,769.24 = 5,986.64/x
  3. Step 3: Cross multiply
    10,701.92x = 14,769.24 × 5,986.64
  4. Step 4: Simplify right side
    10,701.92x = 88,418,122.95
  5. Step 5: Solve for x
    x = 88,418,122.95/10,701.92
  6. Step 6: Final answer
    x = 8,261.89

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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.