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Finding the Fourth Proportional to 10,980.56, 16,471.76 and 3,189.38

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Solution

The fourth proportional to 10,980.56, 16,471.76 and 3,189.38 is: 4,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.56 : 16,471.76 = 3,189.38 : x
  2. Step 2: Convert to fraction form
    10,980.56/16,471.76 = 3,189.38/x
  3. Step 3: Cross multiply
    10,980.56x = 16,471.76 × 3,189.38
  4. Step 4: Simplify right side
    10,980.56x = 52,534,603.60
  5. Step 5: Solve for x
    x = 52,534,603.60/10,980.56
  6. Step 6: Final answer
    x = 4,784.33

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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.