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Finding the Fourth Proportional to 8,570.24, 12,856.43 and 3,305.10

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Solution

The fourth proportional to 8,570.24, 12,856.43 and 3,305.10 is: 4,958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.24 : 12,856.43 = 3,305.10 : x
  2. Step 2: Convert to fraction form
    8,570.24/12,856.43 = 3,305.10/x
  3. Step 3: Cross multiply
    8,570.24x = 12,856.43 × 3,305.10
  4. Step 4: Simplify right side
    8,570.24x = 42,491,786.79
  5. Step 5: Solve for x
    x = 42,491,786.79/8,570.24
  6. Step 6: Final answer
    x = 4,958.06

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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.