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Finding the Fourth Proportional to 10,052.70, 15,057.09 and 4,847.64

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Solution

The fourth proportional to 10,052.70, 15,057.09 and 4,847.64 is: 7,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.70 : 15,057.09 = 4,847.64 : x
  2. Step 2: Convert to fraction form
    10,052.70/15,057.09 = 4,847.64/x
  3. Step 3: Cross multiply
    10,052.70x = 15,057.09 × 4,847.64
  4. Step 4: Simplify right side
    10,052.70x = 72,991,351.77
  5. Step 5: Solve for x
    x = 72,991,351.77/10,052.70
  6. Step 6: Final answer
    x = 7,260.87

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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.