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Finding the Fourth Proportional to 11,905.80, 16,430.40 and 7,189.14

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Solution

The fourth proportional to 11,905.80, 16,430.40 and 7,189.14 is: 9,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.80 : 16,430.40 = 7,189.14 : x
  2. Step 2: Convert to fraction form
    11,905.80/16,430.40 = 7,189.14/x
  3. Step 3: Cross multiply
    11,905.80x = 16,430.40 × 7,189.14
  4. Step 4: Simplify right side
    11,905.80x = 118,120,445.86
  5. Step 5: Solve for x
    x = 118,120,445.86/11,905.80
  6. Step 6: Final answer
    x = 9,921.25

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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.