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Finding the Fourth Proportional to 11,073.28, 16,591.43 and 7,780.48

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Solution

The fourth proportional to 11,073.28, 16,591.43 and 7,780.48 is: 11,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,073.28 : 16,591.43 = 7,780.48 : x
  2. Step 2: Convert to fraction form
    11,073.28/16,591.43 = 7,780.48/x
  3. Step 3: Cross multiply
    11,073.28x = 16,591.43 × 7,780.48
  4. Step 4: Simplify right side
    11,073.28x = 129,089,167.43
  5. Step 5: Solve for x
    x = 129,089,167.43/11,073.28
  6. Step 6: Final answer
    x = 11,657.72

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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.