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Finding the Fourth Proportional to 8,057.08, 12,074.28 and 6,406.30

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Solution

The fourth proportional to 8,057.08, 12,074.28 and 6,406.30 is: 9,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.08 : 12,074.28 = 6,406.30 : x
  2. Step 2: Convert to fraction form
    8,057.08/12,074.28 = 6,406.30/x
  3. Step 3: Cross multiply
    8,057.08x = 12,074.28 × 6,406.30
  4. Step 4: Simplify right side
    8,057.08x = 77,351,459.96
  5. Step 5: Solve for x
    x = 77,351,459.96/8,057.08
  6. Step 6: Final answer
    x = 9,600.43

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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.