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Finding the Fourth Proportional to 10,057.67, 15,086.81 and 4,793.24

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Solution

The fourth proportional to 10,057.67, 15,086.81 and 4,793.24 is: 7,190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.67 : 15,086.81 = 4,793.24 : x
  2. Step 2: Convert to fraction form
    10,057.67/15,086.81 = 4,793.24/x
  3. Step 3: Cross multiply
    10,057.67x = 15,086.81 × 4,793.24
  4. Step 4: Simplify right side
    10,057.67x = 72,314,701.16
  5. Step 5: Solve for x
    x = 72,314,701.16/10,057.67
  6. Step 6: Final answer
    x = 7,190.01

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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.