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Finding the Fourth Proportional to 8,570.70, 12,850.56 and 3,885.84

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Solution

The fourth proportional to 8,570.70, 12,850.56 and 3,885.84 is: 5,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.70 : 12,850.56 = 3,885.84 : x
  2. Step 2: Convert to fraction form
    8,570.70/12,850.56 = 3,885.84/x
  3. Step 3: Cross multiply
    8,570.70x = 12,850.56 × 3,885.84
  4. Step 4: Simplify right side
    8,570.70x = 49,935,220.07
  5. Step 5: Solve for x
    x = 49,935,220.07/8,570.70
  6. Step 6: Final answer
    x = 5,826.27

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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.