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Finding the Fourth Proportional to 11,057.96, 15,260.28 and 6,022.40

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Solution

The fourth proportional to 11,057.96, 15,260.28 and 6,022.40 is: 8,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.96 : 15,260.28 = 6,022.40 : x
  2. Step 2: Convert to fraction form
    11,057.96/15,260.28 = 6,022.40/x
  3. Step 3: Cross multiply
    11,057.96x = 15,260.28 × 6,022.40
  4. Step 4: Simplify right side
    11,057.96x = 91,903,510.27
  5. Step 5: Solve for x
    x = 91,903,510.27/11,057.96
  6. Step 6: Final answer
    x = 8,311.07

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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.