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Finding the Fourth Proportional to 10,769.60, 16,132.80 and 6,147.20

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Solution

The fourth proportional to 10,769.60, 16,132.80 and 6,147.20 is: 9,208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.60 : 16,132.80 = 6,147.20 : x
  2. Step 2: Convert to fraction form
    10,769.60/16,132.80 = 6,147.20/x
  3. Step 3: Cross multiply
    10,769.60x = 16,132.80 × 6,147.20
  4. Step 4: Simplify right side
    10,769.60x = 99,171,548.16
  5. Step 5: Solve for x
    x = 99,171,548.16/10,769.60
  6. Step 6: Final answer
    x = 9,208.47

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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.