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Finding the Fourth Proportional to 11,905.20, 16,430.40 and 7,189.20

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Solution

The fourth proportional to 11,905.20, 16,430.40 and 7,189.20 is: 9,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.20 : 16,430.40 = 7,189.20 : x
  2. Step 2: Convert to fraction form
    11,905.20/16,430.40 = 7,189.20/x
  3. Step 3: Cross multiply
    11,905.20x = 16,430.40 × 7,189.20
  4. Step 4: Simplify right side
    11,905.20x = 118,121,431.68
  5. Step 5: Solve for x
    x = 118,121,431.68/11,905.20
  6. Step 6: Final answer
    x = 9,921.84

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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.