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Finding the Fourth Proportional to 8,323.57, 12,487.20 and 2,778.76

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Solution

The fourth proportional to 8,323.57, 12,487.20 and 2,778.76 is: 4,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.57 : 12,487.20 = 2,778.76 : x
  2. Step 2: Convert to fraction form
    8,323.57/12,487.20 = 2,778.76/x
  3. Step 3: Cross multiply
    8,323.57x = 12,487.20 × 2,778.76
  4. Step 4: Simplify right side
    8,323.57x = 34,698,931.87
  5. Step 5: Solve for x
    x = 34,698,931.87/8,323.57
  6. Step 6: Final answer
    x = 4,168.76

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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.