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Finding the Fourth Proportional to 8,570.40, 12,855.60 and 8,019.60

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Solution

The fourth proportional to 8,570.40, 12,855.60 and 8,019.60 is: 12,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.40 : 12,855.60 = 8,019.60 : x
  2. Step 2: Convert to fraction form
    8,570.40/12,855.60 = 8,019.60/x
  3. Step 3: Cross multiply
    8,570.40x = 12,855.60 × 8,019.60
  4. Step 4: Simplify right side
    8,570.40x = 103,096,769.76
  5. Step 5: Solve for x
    x = 103,096,769.76/8,570.40
  6. Step 6: Final answer
    x = 12,029.40

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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.