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Finding the Fourth Proportional to 8,246.44, 12,366.62 and 5,780

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Solution

The fourth proportional to 8,246.44, 12,366.62 and 5,780 is: 8,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.44 : 12,366.62 = 5,780 : x
  2. Step 2: Convert to fraction form
    8,246.44/12,366.62 = 5,780/x
  3. Step 3: Cross multiply
    8,246.44x = 12,366.62 × 5,780
  4. Step 4: Simplify right side
    8,246.44x = 71,479,063.60
  5. Step 5: Solve for x
    x = 71,479,063.60/8,246.44
  6. Step 6: Final answer
    x = 8,667.87

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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.