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Finding the Fourth Proportional to 8,321.57, 12,484.73 and 2,778.54

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Solution

The fourth proportional to 8,321.57, 12,484.73 and 2,778.54 is: 4,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.57 : 12,484.73 = 2,778.54 : x
  2. Step 2: Convert to fraction form
    8,321.57/12,484.73 = 2,778.54/x
  3. Step 3: Cross multiply
    8,321.57x = 12,484.73 × 2,778.54
  4. Step 4: Simplify right side
    8,321.57x = 34,689,307.80
  5. Step 5: Solve for x
    x = 34,689,307.80/8,321.57
  6. Step 6: Final answer
    x = 4,168.60

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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.