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Finding the Fourth Proportional to 8,057.58, 12,074.68 and 5,722.16

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Solution

The fourth proportional to 8,057.58, 12,074.68 and 5,722.16 is: 8,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.58 : 12,074.68 = 5,722.16 : x
  2. Step 2: Convert to fraction form
    8,057.58/12,074.68 = 5,722.16/x
  3. Step 3: Cross multiply
    8,057.58x = 12,074.68 × 5,722.16
  4. Step 4: Simplify right side
    8,057.58x = 69,093,197.69
  5. Step 5: Solve for x
    x = 69,093,197.69/8,057.58
  6. Step 6: Final answer
    x = 8,574.94

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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.