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Finding the Fourth Proportional to 8,047.40, 12,072.78 and 2,856.68

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Solution

The fourth proportional to 8,047.40, 12,072.78 and 2,856.68 is: 4,285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.40 : 12,072.78 = 2,856.68 : x
  2. Step 2: Convert to fraction form
    8,047.40/12,072.78 = 2,856.68/x
  3. Step 3: Cross multiply
    8,047.40x = 12,072.78 × 2,856.68
  4. Step 4: Simplify right side
    8,047.40x = 34,488,069.17
  5. Step 5: Solve for x
    x = 34,488,069.17/8,047.40
  6. Step 6: Final answer
    x = 4,285.62

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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.